When the owner of a gas station sets the price of 1 gallon of unleaded gasoline at$4.10, he can sell approximately 1500 gallons per day. when he sets the price at $4.25 per gallon, he can sell approximately 1250 gallons per day. let g(x) denote the number of gallons of unleaded gasoline sold per day when the price is x dollars. assume that g(x) is a linear function of x. approximately how many gallons will be sold per day if the price is set at $4.35 per gallon?

It is given in the question that

When the owner of a gas station sets the price of 1 gallon of unleaded gasoline at$4.10, he can sell approximately 1500 gallons per day. When he sets the price at $4.25 per gallon, he can sell approximately 1250 gallons per day. Let G(x) denote the number of gallons of unleaded gasoline sold per day when the price is x dollars.

First we put the given  information in point form and find the slope ,m .

Using point slope form, we will get

When x = 4.35, we will get

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step-by-step explanation: