## John opens a savings account with an initial deposit of \$2000. He deposits \$35 each week. Mary’s savings account is represented by the funct

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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1 week 2021-09-15T01:05:12+00:00 2 Answers 0

John’s savings account equation would be y=35x + 2000 while Mary’s is y=45x + 2800.
By comparing them, we see that Mary deposits 10 more than John per week.

The statement that best compares the rate of change for the two accounts is:

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

Step-by-step explanation:

In the equation that determines Mary’s savings account balance:

• y = \$ 45x + \$ 2800

It can be identified that the \$ 2800 mentioned is the initial deposit with which the savings account was opened, so the value of \$ 45 is the weekly moment that Mary saves week after week, which will be increased once the variable X increase, considering that John’s weekly savings amount is \$ 35, it is valid to state that John saves \$ 10 less than Mary since:

• \$ 45 (amount saved by Mary) – \$ 35 (Amount saved by John) = \$ 10.