Question

A gas station sells 4820 gallons of regular unleaded gasoline in a day when they charge $1.35 per gallon, whereas they sell 3885 gallons on a day that they charge $1.40 per gallon. Find a linear equation that relates gallons sold to price. Use this equation to predict the number of gallons sold at a price of $1.23 per gallon. Group of answer choices

Answer 1

The required linear function is , Gallon Sold = 30578 - 19080 * Price per gallon

Explanation:

For $1.35 per gallon the sale is 4820 gallon and for $1.40 per gallon the sale is 3866

or

every increase of $0.05 per gallon 954 gallon is reduced.

Say , the linear function is Ax + B = Gallon Sold

where x is price per gallon.

So , 1.35A + B = 4820 ....1

and 1.40A + B = 3866 ....2

Now substract (1) from (2)

we get , 0.05A = -954

or A = -19080

and value of B = 30578 . So

The required linear function is , Gallon Sold = 30578 - 19080 * Price per gallon.