Find the equation of the exponential function represented by the table below:

y = 0.2(0.5)^x

Step-by-step explanation:

Exponential function are of the form

y = ab^x

To find "a" plug in x = 0 y = 0.2

0.2 = a(0.2)^0

0.2 = a

To find "b" plug in another point and a = 0.2

using x = 2, b = 0.05

0.05 = 0.2b^2

Divide both sides by 0.20

.25 = b^2

Take the square root of both sides

0.5 = b

With a = 0.2 and b = 0.5 the equation becomes

y = 0.2(0.5)^x

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )