The monthly cost of driving a car depends on the number of miles driven. Lynn fo

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. (a) Find a linear function C that models the cost of driving x miles per month. C(x) (b) Draw a graph of c. 600 600 500 500 400 400 300 300 200 200 100 100 200 400 600 800 1000 1200 1400 200 400 600 800 1000 1200 1400 600 500

Explanation / Answer

from the information we have 2 points

( 480 , 380 ) , ( 830 , 450 )

slope = ( 450 - 380 ) / ( 830 - 480 )

= 70/350

= 1/5

applying point slope form

y - 380 = 1/5 ( x - 480 )

y = 1/5x + 284

a) linear function is

C(x) = 1/5x + 284

b)  slope of this line is 1/5

c) rate increases by $ 1/5 per mi

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