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Suppose the following graph of the function, f, represents the number of dollars

ID: 2911714 • Letter: S

Question

Suppose the following graph of the function, f, represents the number of dollars in megs bank account as a function of the number of days,t, since January 1,2012.
1800 1600 1400 1200 1000 600 400 200 20 40 60 80 100 Number of days since January 1st a. As the number of days sirice January 1st increases from 60 to 70 days, for equal changes in the number of days elapsed the change in the number of dollars in Meg's bank account is decreasing. False b. 80 days after January 1st, the amount of money in Meg's bank account increases at a constant rate of change. False c. As the number of days since January 1st increases from 0 to 20 days, the amount of money in Meg's bank account is increasing and the value of the rate of change of the amount of money with respect to the number of days elapsed is decreasing True d. Use function notation to represent the average rate of change of the number of dollars in Meg's Bank account in terms of the number of days since January 1st as the number of days since January 1st increases from 32 to 34 days. (t)-(1400-1800)/(60-30)| # Preview

Explanation / Answer

d) function notation to represent average rate of change of the number of dollars

= f (34 ) - f(32 ) / ( 34 - 32 )

since f(34 ) is the final value

f(32 ) = initial value

so, average rate of change = f (34 ) - f(32 ) / ( 34 - 32 )

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