Question

The function f(x) = 3(1.9)x gives the length (in inches) of an image after being enlarged by 10% x times. What is the length of the image after it has been enlarged 3 times? Round your answer to the nearest hundredth.

The length of the image is how many
inches?

Answer 1

20.58 inches

Explanation:

As the variable x represents the number of times the figure is enlarged, to find the length of the image after it has been enlarged 3 times, we just need to use the function f(x) with the value of x = 3:

f(x) = 3 * (1.9)^x

f(3) = 3 * (1.9)^3

f(3) = 3 * 6.859

f(3) = 20.577 inches

Rounding to nearest hundredth, we have f(3) = 20.58 inches

So the length of the image after being enlarged 3 times is 20.58 inches