Question

Please see picture. I am looking for help on part b of #5

Answer 1

5.a).

GIven:

Principal P= $ 5000.

Interest rate R = 7 % =0.07.

The number of years T=x.

Consider the following formula to find the amount.

`A=P(1+r)^t`

Substitute A=y P=5000, R=0.07, and T=x in the equation, we get

`y=5000(1+0.07)^x`

`y=5000(1.07)^x`

Which is of the form

`y=a(b)^x`

We know that this is the exponential growth function.

Hence the exponential function is

`y=5000(1.07)^x`

b)

Consider the y values from the table.

5,10,15,20,25,30,...

The difference between 5 and 10 = 10-5 =5.

The difference between 10 and 15 = 15-10 =5.

Proceed this way to find the common difference.

The common difference is 5.

The y value is increasing by the common value of 5.

The slope =5 and the y-intercept is 5 from point (0,5).

The equation is

`y=5+5x`

This is a linear equation.