The expression below shows the population of butterflies in a forest after 4x years: f(x) = 40(1.04)^4x which of the following is an equivalent function? f(x) = 40(4.1600)^x f(x) = 480(1.04)^x f(x) = 40(1.1699)^x f(x) = 480(4.1600)^x

Step-by-step explanation:

The expression below shows the population of butterflies in a forest after 4x years.

To find out the equivalent function, we need to multiply the exponent 4 inside the parenthesis.

In the given function,

So f(x) becomes

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.