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?

Question

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.

.
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Answer 1

The rate of change for John's savings account is a constant $35 each week. Therefore, the statement that BEST compares the rate of change for the two accounts is C. John deposits $10 less each week than Mary.