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

Answers ( )

    0
    2021-09-15T01:06:15+00:00

    The answer is C.

    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.

    0
    2021-09-15T01:06:28+00:00

    Answer:

    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.

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