Question

PLEASE HELP ME!!! THIS IS IMPORTANT!!!

John opens a savings account with an initial deposit of $2000. He deposits $35 each week. Mary's savings account is represented by the function y = $45x + $2800 , where y is the balance of Mary's savings account after her initial deposit and a number of weekly deposits, x. Which statement BEST compares the rate of change for the two accounts?

A) Mary deposited $800 less than John.

B) John deposits $10 more each week than Mary.

C) John deposits $10 less each week than Mary.

D) Mary deposits $7 for every $9 John deposits.

Answer 1

C

Explanation:

Mary deposited initially $800 more than John. Then , she deposited $10 more each week.

y = $2800 (for initial situation)

y = $45 + $2800 (for first week)

.

.

.

Answer 2

C) John deposits $10 less each week than Mary

Explanation:

rate of change (R)=change in y / change in x

R john = $35 / 1 week

R mary = $45 / 1 week

Compare the rate: $45 - $ 35 = $10