Answer:
Option D. minimum value at −38
Step-by-step explanation:
we have
Let
Complete the square
------> equation of a vertical parabola in vertex form
The vertex is the point
The parabola open upward-----> the vertex is a minimum
therefore
minimum value at −38
See picture for answer and solution steps.
<u>Given</u>:
The given function 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.
<u>Value of the car:</u>
The value of the car after 7 years can be determined by substituting x = 7 in the function , we get;
Rounding off to the nearest dollar, we get;
Thus, the approximate value of Mark's car after 7 years is $14278.
Hence, Option a is the correct answer.