Question

Consider the exponential function

Answer 1

Answer:

a) 14,278

Step-by-step explanation:

19000 × 0.96⁷

14277.50208

Answer 2

Given:

The given function $f(x)=19,000 \cdot 0.96 ^x$ which models the value of Mark’s car, where x represents the number of years since he purchased the car.

We need to determine the approximate value of Mark's car after 7 years.

Value of the car:

The value of the car after 7 years can be determined by substituting x = 7 in the function $f(x)=19,000 \cdot 0.96 ^x$, we get;

$f(7)=19,000 \cdot 0.96 ^7$

$f(7)=19,000 \cdot 0.7514474781$

$f(7)=14277.502$

Rounding off to the nearest dollar, we get;

$f(7)=14278$

Thus, the approximate value of Mark's car after 7 years is $14278.

Hence, Option a is the correct answer.