Answer:
.
Step-by-step explanation:
The equation that represents the function can be written in the slope-intercept form, .
To create an equation, we need to find the slope (m) and the y-intercept (b) of the function.
First, calculate the slope of the function using two points, (1, 12) and (2, 19).
Next, find b by substituting x = 1, f(x) = 12, and m = 7 into .
Subtract 7 from each side
Substitute m = 7 and b = 5 into .
✅Thus, the equation that represents the function would be:
.
Answer:
<em>The value of the car after 4 years is $18,000</em>
Step-by-step explanation:
<u>Formulas</u>
The model used to compute the present value of an item that depreciates yearly is
Where v is the present value, c is the original cost, r is the rate of depreciation per year, and t is the number of years that have passed.
We are required to find the value of a car originally costing c=$30,000 that depreciated at a rate of r=0.1 per year after t= 4 years
We plug in the given data
The value of the car after 4 years is $18,000