The line slants gradually up from left to right.

The line passes through the following points:

(0 comma 20)

(5 comma 30)

(10 comma 40)

Question

A bank account was opened with an initial deposit. Over the next several months, regular deposits were made into this account, and there were no withdrawals made during this time. The graph of the function $f$ shown, where $y = f (x)$ , estimates the account balance, in dollars, in this bank account $x$ months since the initial deposit. To the nearest whole dollar, what is the amount of the initial deposit estimated by the graph?

Accepted Answer

The correct answer is 20 . For the graph shown, the x -axis represents the time since the initial deposit, in months, and the y -axis represents the bank account balance, in dollars. The amount of the initial deposit is estimated by the y -coordinate of the point on the graph that represents 0 months since the initial deposit. Therefore, the amount of the initial deposit is estimated by the corresponding y -value for the point when x = 0 . When x = 0 , it is estimated that y = 20 . Thus, the amount of the initial deposit estimated by the graph, to the nearest whole dollar, is 20 .

Question the-li