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

Question

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.

in progress 0
Vivian 3 weeks 2021-09-25T23:55:26+00:00 1 Answer 0

Answers ( )

    0
    2021-09-25T23:56:46+00:00

    Answer:

    y=0.2x+284

    Step-by-step explanation:

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

    Our information can be presented as:

    y=mx+c\\\\450=830x+C\ \ \ \ \ \ \ \ \ eqtn 1\\\\380=480x+C\ \ \ \ \ \ \ \ \ eqtn 2

    #Subtracting equation 2 from 1:

    70=350x\\x=0.2

    Hence the fixed cost per mile driven,x is $0.20

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

    450=830x+C\ \ \ \ \ \ \ X=0.2\\\therefore C=450-830\times0.2\\=284

    Now, substituting our values in the linear equation:

    y=0.2x+284       #y=cost of driving, x=distance driven

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

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )