Cost of a New Car From 1970 to 1990, the average cost of a new car, C (in dollars), can be approximated by the model C = 30.512 + 4192, where

t is the number of years since 1970. During which year was the average

cost of a new car $12,000?

In year 1986 the average  cost of car is  $12,000

Step-by-step explanation:

Cost function:

C = 30.5t² + 4192

Cost = $12,000

Find:

Year

Computation:

C = 30.5t² + 4192

12,000 = 30.5t² + 4192

t = 16 year

So,

Year 1970 + 16 year

1986

So, In year 1986 the average  cost of car is  $12,000

step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.