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the monthly cost of driving a car depends on the number of miles driven. lynn found that in may it cost her $434 to drive 460 mi and in june it cost her $546 to drive 740 mi. (a) express the monthly cost c as a function of the distance driven d, assuming that a linear relationship gives a suitable model.



Answer :

tutorconsortium270

C (d) = 0.57731d + 168.74374 is a linear relationship gives a suitable model.

What is point- slope in graph ?

The general form of a linear equation is y-y1=m (x-x1). It draws attention to the line's slope and one of the tips (that is not the y-intercept).

To graph the point-slope form (y - y1 = m(x - x1), first plot the point (x1,y1). Then, using the slope (m), determine a second point on the line. Plot that spot. Finally, draw a straight line connecting the two places.

Calculation

Since we will be using a linear model, we want, first, to find the slope of the line.

Clearly, if the line goes through the points (460, 434) and (740, 546), then the slope of

the line is

 (546  - 434 ) / ( 740 - 546 ) = 112/194 = 0.57731

Now we use the point-slope formula with the point (460, 434):

C - 434 = 0.57731( d - 460) = 0.57731d - 265.5626

hence ,

C (d) = 0.57731d + 168.74374

learn more about point - slope here :

brainly.com/question/837699

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