Find a linear equation that relates C and d.

Algebra
Tutor: None Selected Time limit: 1 Day

Lynn found that in May her driving cost was $310 for 500 mi and in June her cost was $410 for 700 mi. Assume that there is a linear relationship between the monthly cost C of driving a car and the distance driven d.

Feb 2nd, 2015

Assuming the relation between C and d is C=md+b

According to the description, d=500, C=310, so 500m+b=310     (1)

                                               d=700, C=410, so 700m+b=410     (2)

Equation 2- Equation 1:     200m=100, m=0.5

Input m=0.5 to Equation 1,  500*0.5+b=310,  250+b=310,  b=60

Therefore the relationship is C=0.5d+60

Feb 2nd, 2015

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Feb 2nd, 2015
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