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Math. Please help me!!!!!!?

Math problem: An automotive engineer studied the effect of car weight in tons on fuel efficiency, which is measured in miles per gallon (mpg). The data from two cars in the study showed that a 2 ton car had a fuel efficiency of 35 mpg and a 2.5 ton car had a fuel efficiency of 31 mpg. Find a linear model that gives the fuel efficiency E (in mpg) of a car as a function of its weight w (in tons).

E =

Use the model to find the fuel efficiency (in mpg) of a car that weighs 3 tons.

 mpg

1 Answer

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  • Jim
    Lv 7
    4 months ago

    Linear equations are like y=mx +b

    35 = m(2.0) +b

    31 = m(2.5) +b

    Subtract to eliminate b and solve for m, then b

    y = -8x + 51

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