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Mark opens a savings account with an initial deposit of $2000. He deposits $35 each week. Elizabeth's savings account is represented by the function y = $45x + $2800, where y is the balance of Elizabeth'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?

answer choices:

Elizabeth deposited $800 less than mark

Mark deposits $10 more each week than Elizabeth.

Elizabeth deposits $7 for every $9 Mark deposits

Mark deposits $10 less each week than Elizabeth

 Mar 30, 2020
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y  =  ax + b     --->   the slope (a) represents the weekly deposit

                               the intercept (b) represents the initial deposit

 

Mark:         initial deposit = $2000   weekly deposit = $35      his equation:  y  =  35x + 2000

Elizabeth:  initial deposit = $2800   weekly deposit = $45      her equation:  y  =  45x + 2800

 

Elizabeth deposited $800 more than Mark.

Mark deposits $10 less each week than Elizabeth

Elizabeth deposits $45 for every $35 that Mark deposits; as a fraction, this is $45/$35  =  9/7, not 7/9

 Mar 30, 2020

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