Which of the following is a positive effect of ecotourism on the environment?
1. It helps pay for conservation efforts.
II. It fosters appreciation of nature and local cultures.
III. It decreases local traffic and crime rates.

Answer:

Karen has a total amount of $ 101

Maria has a total amount of $ 86

Explanation:

We'll begin by obtaining an expression for the total amount of money in Karen's account. This can be obtained as follow:

Let the number of weeks be x

Let the total amount be y

Karen deposited $ 28 when she opened the account and then deposit $ 5 weekly.

The total amount in x week can be written as:

y = 28 + 5x

For Maria, the total amount in x week is given by:

y = 8x + 7

Next, we shall determine the number of weeks in which they both have the same amount in their account.

For Karen's account, the total amount is:

y = 28 + 5x

For Maria's account, the total amount is:

y = 8x + 7

Total in Karen's = Total in Maraia's

28 + 5x = 8x + 7

Collect like terms

28 – 7 = 8x – 5x

21 = 3x

Divide both side by 3

x = 21/3

x = 7

Thus, they both have the same amount in the 7th week.

Next, we shall determine the total amount in each account in the 7th week. This is illustrated below:

For Karen's account,

y = 28 + 5x

x = 7

y = 28 + 5(7)

y = 28 + 35

y = $ 63

For Maria's account,

y = 8x + 7

x = 7

y = 8(7) + 7

y = 56 + 7

y = $ 63

Finally, we shall determine the total amount in each account 2 weeks after they have the same amount in their account. This is illustrated below:

For Karen's account,

y = 28 + 5x

x = 2

y = 28 + 5(2)

y = 28 + 10

y = $ 38

Total amount = 63 + 38 = $ 101

For Maria's account,

y = 8x + 7

x = 2

y = 8(2) + 7

y = 16 + 7

y = $ 23

Total amount = 63 + 23 = $ 86

SUMMARY:

Karen has a total amount of $ 101

Maria has a total amount of $ 86