SOLUTION: The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $350 for 420 mi and in June her cost was $470 for 900 mi. Assum

Algebra.Com
Question 644067: The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $350 for 420 mi and in June her cost was $470 for 900 mi. Assume that there is a linear relationship between the monthly cost C of driving a car and the distance driven d.
(a) Find a linear equation that relates C and d.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The general form of the equation is
where is the slope
Plot on the vertical axis
Plot on the horizontal
Slope is ( change in C ) / ( change in d )


------------------

Now just plug in one of the 2 given points
to find , the intercept on the vertical axis



------------
The equation is
check answer:



Here's the plot:

RELATED QUESTIONS

maria kept recored on how much she spent on gasoline and the maintenance on her car. she... (answered by rfer)
DRIVING COST: It is estimated that the annual cost of driving a certain new car is given... (answered by rfer)
It is estimated that the annual cost of driving a certain new car is given by the formula (answered by josgarithmetic)
A car gets 18 MPG in city driving and 24 MPG in highway driving. The car is driven 465... (answered by stanbon)
the cost of driving a car includes both fixed cost and mileage cost assume that it cost... (answered by stanbon)
Christy goes on a road trip; her car gets 26 miles per gallon (mpg) and gas costs $3.12... (answered by josgarithmetic)
A car gets 30 miles to the gallon of gas on the highway and 20 miles to the gallon for... (answered by checkley77,MathTherapy)
The volume of gas in your car’s gas tank depends on the number of miles you have driven. (answered by josmiceli,ikleyn,josgarithmetic,Theo)
Please help, I'm lost on how to solve this problem. The cost of driving a car include... (answered by josgarithmetic)