Having trouble these problems exponential regression

Question

Exponential Regression
The table below shows the value, VV, of an investment (in dollars) after nn years.
n	0	3	7	12	14	19
V(n)	4900	5247.28	6026.38	7195.82	7411.69	8162.57
Use your calculator to determine the exponential regression equation that models the set of data above. Round the "a" value to two decimals, and round the "b" value to three decimals. Use the indicated variables and proper function notation.		V(n)=V(n)=
Based on the your regression model, what is the percent increase per year?		%
Find V(8). Round your answer to two decimal places.		V(8)=V(8)=		Interpret your answer by completing the following sentence. Be sure to use units in your answer.		"The value of the investment after  is ."
How long will it take for the value of this investment to reach $10,500? Round your answer to two decimal places.		V(n)=10500V(n)=10500 when n=n=		Interpret your answer by completing the following sentence. Be sure to use units in your answer.		In , the value of the investment will reach .
How long will it take for the value of the investment to double? Round your answer to two decimal places.		V(n)V(n) has doubled when n=n=		Interpret your answer by completing the following sentence. Be sure to use units in your answer.		In , the value of the investment will double.

Answer 1

Tra'von,

You have a lot going on here. Your teacher wants you to know how to use your calculator to do this regression. That involves entering a list of inputs (years) and a list of outputs (dollars) and applying the correct regression function. The one you should look for is the one that is in the form f(x) = ab^x , where a is the initial amount and b is the growth factor.

Because the associated scatterplot has the point (0,4900) on it, your answer for a should be very nearly 4900.

Your growth factor, b should be somewhere between 1.025 and 1.035 which means the percentage growth per year is between 2.5% and 3.5%.

If this isn't enough to get you unstuck, you should probably return here to engage a tutor, or ask your teacher for help.

Good Luck