Mathematics High School

Kyla wants to add songs to her phone to listen to while she is riding on the bus. She bought 100 songs on her account.She is planning to download an equal number of songs each week for the next 5 weeks. The number of songs left to download, y, for a certain number of weeks, c is shown in the graph.

A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 140 at increments of 20. A straight line joins the ordered pairs 0, 100 and 1, 80 and 2, 60 and 3, 40 and 4, 20 and 5, 0.

Part A: Determine the rate of change and the initial value (2 points) of the function show on the graph. What does each represent in the scenario (2 points)? Show/Explain the work you completed to find the rate of change and initial value (2 points).

Part B: Using the information from Part A, write the equation that would model this relationship between x and y in slope-intercept form. (4 points)

Answers

Answer 1

Answer:

Slope = - 20; intercept, c = 100

y = - 20x

Step-by-step explanation:

The slope (s) = Rise / Run

using the pairs : (0, 100) and (5, 0)

x1 = 0 ; y1 = 100 ; x2 = 5 ; y2 = 0

Rise = (y2 - y1) = (0 - 100) = - 100

Run = (x2 - x1) = (5 - 0) = 5

Slope = - 100 / 5

Slope = - 20

Using the slope intercept relation :

y = mx + c

m = slope ; c = intercept

y = - 20x + c

Using the point (4, 20) to find c

20 = - 20(4) + c

20 = - 80 + c

20 + 80 = c

100 = c

Hence, c = 100

Slope, m = number of songs downloaded per week

c = Total number songs at week 0

The equation expressed in slope intercept form:

General form:

y = mx + c

m = - 20 ; c = 100

y = - 20x + 100

Related Questions

What is the slope of the line?
y + 2 = -2 ( x - 3 )
A: -1/2
B: -2
C: 1
D: -1

Answers

D:) o b what ? you very whell

Step-by-step explanation:

A b. d. c

Answer:

The answer is -2

Step-by-step explanation:

I got this answer on Khan Academy.

Hope this helps! :)

Find the area of a triangle with:
b: 14 cm
h: 23 cm
ANSWERS
322 cm2
322 cm3
161 cm2
161 cm3

Answers

Answer:

161cm2

Step-by-step explanation:

Area: 1/2 x base x height

1/2 x 14 x 23=161

Area is measured in cm2

Hope this helps!

what is the precent of change from 92 to 108

Answers

108-92=16
16 divide 92=0.173913 multiply by 100=17.3913%
ANSWER
17.39% in change

Place the numbers 4/3 , 1/2 , 4/8 , 3/2 and 2/2 in order from least to greatest.

Answers

Answer:

1/2, 4/8, 2/2, 4/3, 3/2

Step-by-step explanation:

If you put the fractions into decimals it would easier to see which ones are greater and leasts.

4/3 = 1.333...

1/2 = 0.5

4/8 = 2/4 = 1/2 = 0.5

3/2 = 1.5

2/2 = 1

Am not sure if 1/2 go first or 4/8.

− 2/3m = −1/2 solve for m

Answers

Answer:

m=-18

Step-by-step explanation:

-12=2/3m

which number is greater tha 9/4​

Answers

Answer:

9

Step-by-step explanation:

the biggest number gets eaten by the alligator

Find the area of the triangle... HURRRY PLZ HELP HELP HELP. ILL MARK BRAINLYIST THINGY

Answers

Answer:

38.25

Step-by-step explanation:

A = 1/2(8.5)(9)

Answer:

[tex]38.25 mm^{2}[/tex]

Step-by-step explanation:

Area of a triangle = 1/2bh

b = 8.5

h = 9

1/2(8.5)(9) = 38.25

find the m and b of the table

Answers

9514 1404 393

Answer:

  m = 1/2

  b = -7

Step-by-step explanation:

The formulas for these can be used.

  m = (y2 -y1)/(x2 -x1) . . . . . . . . . formula for slope given 2 points

  m = (-9 -(-11))/(-4-(-8)) = 2/4

  m = 1/2

__

  b = y1 -m·x1 . . . . . . . . . . . . formula for y-intercept given slope and point

  b = -11 -(1/2)(-8) = -11 +4

  b = -7

Given the sides of the four triangles below, which is NOT a scalene triangle?

Answers

Answer:

under the circustances of this trajectory the triangular polverinization oxiding cells are answer choice A thus that answer is not a scalene triangle

Step-by-step explanation:

Find the volume of a right circular cone that has a height of 18 m and a base with a
radius of 5.8 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

V=634.0 cubic meter.

Step-by-step explanation:

By formula   V=πr^2(h/3)

so  V=π5.8^2(18/3)

then 5.8square2 =33.64 ,18/3=6  and pi  

multiply everything you'll get  V=634.0990612

finally it says round to the nearest tenth which mean , V=634.0 cubic meter.

Answer:

634.1

Step-by-step explanation:

You have 0.2 liter of an acid solution whose acid concentration is 16 moles per liter. You want to dilute the solution with water so that its acid concentration is only 12 moles per liter. Use the given model todetermine howmany liters of water you should add to the solution.

Answers

Answer: 0.067 litres of water

Step-by-step explanation:

The mode is:

Concentration of new solution = Moles of acid in original solution / (Volume of original solution + Volume of water added)

Assume volume of water added is w.

12 = 16 (0.2) / (0.2 + w)

(0.2 + w) * 12 = 3.2

0.2 + w = 3.2 / 12

w = (3.2 / 12) - 0.2

w = 0.067 litres of water

The amount of water you should add to the solution is 0.067 liters.

Given

You have 0.2 liters of an acid solution whose acid concentration is 16 moles per liter.

You want to dilute the solution with water so that its acid concentration is only 12 moles per liter.

The concentration of new solution;

You can also use the solution dilution calculator in order to calculate the concentration of ions in a diluted solution.

The amount of water you should add to the solution is given;

[tex]\rm Concentration \ of \ new \ solution =\dfrac{\text{Moles of acid in original solution } }{\text{Volume of original solution + Volume of water added}}\\\\12=\dfrac{16(0.2)}{0.2+w}\\\\12 (0.2+w)=16(0.2)\\\\2.4 +12w=3.2\\\\12w=3.2-2.4\\\\12w=0.8\\\\w=\dfrac{0.8}{12}\\\\w=0.067[/tex]

Hence, the amount of water you should add to the solution is 0.067 liters.

To know more about concentration click the link given below.

https://brainly.com/question/882576

How many degrees of rotational symmetry does the flower have

Answers

Answer:

It has 5-fold rotational symmetry (72 degrees). The Clematis shown has 8-fold rotational symmetry (45 degrees). It has 8 flower petals arranged around the center of the flower.

Step-by-step explanation:

Simplify the expression. 25(z-4)

Answers

Answer

25z - 100

Step by step explanation

Answer:

25z-100

Step-by-step explanation:

what is the solution to the inequality -x/10>-11​

Answers

Answer:

x<110

Step-by-step explanation:

-x/10>-11

-x>-11*10

-x>-110

x>110

x<110

Answer:

x > - 110

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than a sign from both sides of the inequality :

       x / 10 - ( -11 ) > 0

                  x

Simplify   ——

                 10

   x    

 —— -  -11  > 0

  10

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  10  as the denominator :

              -11                -11 • 10

   -11 =  ———  =  ————————

               1                     10  

Equivalent fraction: The fraction thus generated looks different but has the same value as the whole

Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

  x - (-11 • 10)               x + 110

———————  =  ———————

      10                            10

       x + 110

 ———————  > 0

          10

Multiply both sides by  10

Subtract  110  from both sides

           x > -110

Inequality plot for

0.100 x  + 11.000  >  0

x > -110

!!!!!!Plss Help Me!!!!!!!

Answers

Write the problem as an equation:

5n <65

Solve for n by dividing both sides by 5:

n <13

Because the inequality does not contain an equal sign, n (13) is not included in the answer so there would be an open circle on the number 13

The correct answer would be A.

HELP I NEED HELP ASAP

Answers

What is that Sorry I can’t help

here are 36 points lovely person but first any advice for a student - kid

Answers

I don’t have much advice, but I would make yourself a schedule and a to-do list so you stay in track, and know what you’re doing each day so you can hold yourself accountable and can’t have any excuses about “not knowing about the work” because if you’re organized and get it done fast, you will be able to know about all of you work and have beTter grades since you have more time to learn the material and turn it in on time

Thanks for the points lol

-2.7F + 0.4F - 11 - 9
How do I solve this, like I understand the first few parts but when I have to combine Like terms I get stuck‍♀️

Answers

Answer:

-2.3F-20

Step-by-step explanation:

-2.7F + 0.4F - 11 - 9 = -2.3F-20

Answer:

I think when you collect all the like terms the equation comes out to be

Step-by-step explanation:

-2.3F - 20

What does y = 1/3x + 5 look like on a graph?

Answers

It’s gonna cross the 5 on the y axis, and it’ll be decreasing because the rise/run is 1/3

un bebe tiene 26.000.000.000 celulas. un adulto tiene cerca de 4.94×10¹³ celulas ¿ cuantas celulas mas tiene un adulto que un recien nacido? escribe la respuesta en notacion cientifica​

Answers

el adulto tiene 13 células más que el bebe

What is 30% of 42?
I’ve given up on my hw pls help

Answers

Answer:

12.6 is the answer! happy to help ya :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

42(30/100)

12.6

i’m so confused by this does anyone have this figured out

Answers

Answer:

you have to find the angels

Step-by-step explanation:

7. The ratio of the weight of cement to the weight of sand in a concrete mixture is 1:3.
Complete the table to show the different weights of cement or sand in the concrete mixture.

Answers

1 3 6 concrete ratio
Concrete
Proportions by Cement No. of 50 kg Sand to total aggregate
1:3:6 4.0 31
1:4:5 4.0 41
1:3:5 4.4 35
1:4:4 4.5 47

how to divide 134 800 by 240 using long method?​

Answers

Answer:

sumando

Step-by-step explanation:

sumando 240 134800 veces

help, look at picture

Answers

Answer:

y= 5/3 which is 1 2/3

Step-by-step explanation:

trust me

y=5/3

.......................

ï will give the brainlist

Answers

Answer:

x = 28°

Step-by-step explanation:

3x - 21° = 63°3x = 63°+ 21°3x = 84°x = 28°

MARK ME AS BRAINLIST

Answer: X=28

Step-by-step explanation:

(3x-21) = 63

3(28)-21 = 63

3(28) = 84

84 - 21 = 63

63 = 63

!BRAINLIST! please help me with this QUICK!

Answers

Answer:

Corresponding

Co-interior

None

Alternate exterior

Alternate interior

Corresponding

What is the domain of this function?

Answers

Answer:

c

Step-by-step explanation:

its c because I just cacuulated it

The answerA. Hope this helps God bless

There are 50 students in a class and their annual result is presented in the following table:
Result
fail , 7 students
pass, 43 students


If a student is selected at random find the probability that the student has passed the examination.
​

Answers

It is a 1.16% chance the student failed- it is a 98.94% one passed 6/7 passsd- there is a 98.94% probablility it passed!

Plz help me with this question

Answers

Answer:

C

Step-by-step explanation:

Remark

There are probably a couple of ways that you could do this. I'm going to pick the most obvious way.

Givens.

KN = 2.5

NO = 10

LM = 3

MP = x

Equation

NO/KN = PM / LM

Solution

10 / 2.5 = x / 3              Cross multiply

2.5x = 10 * 3                 Combine

2.5x = 30                      Divide by 2.5

x = 30/2.5

x = 12

That looks like it should be the answer, and it almost is, but you are asked for LP.

LP = LM + MP

LP = 3 + 12

LP = 15

The answer is 15

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