Calc

The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $380 to drive 480 mi. and in June it cost her $460 to drive 800 mi.

a) Express the montly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model.

I got C= 1/4 a + 260

b) Use part (a) to predict the cost of driving 1500 mi. per month.

I got C= 1/4(1500) + 260= 635

c) Draw the graph of the linear function and what does the slope represent?

Not sure but, I think the slope represents the relationship between the number of mi. driven and the montly cost of drving a car. The more miles driven, the higher the monthly cost.

d) What does the y-intercept represent?

I am not sure, other than it is a constant?

e) Why does a linear function give a suitable model in this situation?

Is it because the cost to drive a mile will always be constant and therefore, the rate of change will be constant?

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  1. a) Express the montly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model.

    I got C= 1/4 a + 260
    slope = changeincost/change in miles
    slope= 90/320=9/32
    intercept: when miles is zero.
    cost= 9/32 x+b
    380=9/32*480+b
    b= 135 check that.
    cost= 9/32 miles + 135


    b) Use part (a) to predict the cost of driving 1500 mi. per month.

    I got C= 1/4(1500) + 260= 635 redo

    c) Draw the graph of the linear function and what does the slope represent?

    Not sure but, I think the slope represents the relationship between the number of mi. driven and the montly cost of drving a car. The more miles driven, the higher the monthly cost. almost, I answered it above

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    bobpursley

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