Write the equation for an exponential function, in the form y=axb

Hello from MrBillDoesMath!

y = 5(1.5)^x

Discussion:

y = ab^x

When x =1 , y = 7.5

7.5 = ab                       (*)

When x = 3, y = 16.875

16.875 = ab^3           (**)

Divide (**) by (*)

16.875/7.5 = ab^3/(ab)           => 16.875/7.5 = 2.25

2.25 = b^2                               => take square root of both sides

b = 1.5

So far, y = a (1.5)^x.

Substituting x = 1, y =7.5 in the equation gives

7.5 = a (1.5)^1       => as (1/5)^1 = 1.5

7.5 = a * 1.5          => divide both sides by 1,5

a = 7.5/1.5            =>

a = 5

The equation is y = 5(1.5)^x

Thank you,

MrB

correct answer:

i^31 = -i

2 and 1.

step-by-step explanation:

plug in each answer. 0 doesn't work, 1 does. so does 2. 4 doesn't:

0 = 1 is not true.

2 = 2 is true.

4 = 4 is true.

8 = 16 is not true.

hope this !