Question

The function c ( x ) = 63 ⋅ ( 1.03 ) x models the cost in dollars, c , of 1 ounce of a certain chemical used in a laboratory. x represents the number of years since 1990.

Does the cost of the chemical increase or decrease with time?

Group of answer choices

Increase

Decrease

Answer 1

9514 1404 393

Answer:

increase

Explanation:

Your cost function appears to be an exponential function of the form ...

c(x) = (initial cost)·(growth factor)^x

When the growth factor (1.03) is greater than 1, it means the exponential function is increasing with x (time).

The cost function increases with time.