The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $380 for 480 mi and in June her cost was $450 for 830 mi. Assume that there is a linear relationship between the monthly cost C of driving a car and the distance x driven. Find a linear equation that relates C and d.

Step-by-step explanation:

Let  x be the distance driven, d-distance and C our constant.

Our information can be presented as:

#Subtracting equation 2 from 1:

Hence the fixed cost per mile driven, is $0.20

To find the constant, we substitute in any of the equations:

Now, substituting our values in the linear equation:

      #y=cost of driving, x=distance driven

Hence the linear equation for the cost of driving is y+0.2x+284