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

Please See Picture I Am Looking For Help On Part B Of 5 class=

Sagot :

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.

[tex]A=P(1+r)^t[/tex]

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

[tex]y=5000(1+0.07)^x[/tex]

[tex]y=5000(1.07)^x[/tex]

Which is of the form

[tex]y=a(b)^x[/tex]

We know that this is the exponential growth function.

Hence the exponential function is

[tex]y=5000(1.07)^x[/tex]

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

[tex]y=5+5x[/tex]

This is a linear equation.