SOLUTION: Brenda deposited some money in a bank. The bank paid her a simple interest every year. After t years, the amount of money f(t), in dollars, that the bank paid Brenda was $2000 grea

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Question 854762: Brenda deposited some money in a bank. The bank paid her a simple interest every year. After t years, the amount of money f(t), in dollars, that the bank paid Brenda was $2000 greater than 10 times the number of years. Which statement best describes the steps to sketch a graph showing the relationship between f(t) and t?
The choices being:
Label t on the x axis and f(t) on the y axis and plot a graph having slope = 2000 and y intercept = 10.
Label t on the x axis and f(t) on the y axis and plot a graph having slope = 10 and y intercept = 2000.
Label f(t) on the x axis and t on the y axis and plot a graph having slope = 10 and y intercept = 200.
Label f(t) on the x axis and t on the y axis and plot a graph having slope = 2000 and y intercept = 200.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The simple interest formula is:
+A+=+P%2A%28+1+%2B+r%2At+%29+
They are saying +A+=+f%28t%29+
That is just renaming it
+f%28t%29+=+P+%2B+P%2Ar%2At+
------------------
The time in years, +t+ should be
plotted on the horizontal axis
because it is the independent variable
( doesn't depend on anything else
for it's value )
-------------------------------
+P+ is plotted on the vertical axis
From the data given, see what happens
when +t+=+0+, which is the y-intercept
------------------------------------
10 times greater than zero is zero, so
the y-intercept is +2000+
+f%28t%29+=+2000+%2B+10t+
So, the slope is +10+
That makes the 2nd choice correct