Question

PLEASE HURRY

An exponential function contains the points: (3, 182.25) and (2,
202.5)
What is the exponential function that contains these points?

Answer 1

C

Explanation:

The exponential function has standard form

y = a
`b^(x)`

Use the 2 given points to find a and b

Using (3, 182.25) , then

182.25 = a b³ → (1)

Using (2, 202.5) , then

202.5 = ab² → (2)

Divide (1) by (2)

`(ab^3)/(ab^2)` =
`(182.25)/(202.5)`

b = 0.9

Substitute b = 0.9 into (1) and solve for a

182.25 = a (0.9)³ ( divide both sides by (0.9)³

a =
`(182.25)/((0.9)^3)` = 250

Thus

f(x) = 250 ×
`(0.9)^(x)` ← third option