Solve the problem.
-A gas station sells 4820 gallons of regular unleaded gasoline in a day when they charge $1.35 per gallon, whereas they sell 3852 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 $1.20 per gallon.
A) 7733 gallons
B) 7720.7 gallons
C) 7724 gallons
D) 7728.1 gallons

Question

Quizplus · Accepted Answer

To find the linear equation, we first determine the slope (m) using the two points (1.35, 4820) and (1.40, 3852). The slope m = (3852 - 4820) / (1.40 - 1.35) = -19360. Then, using the point-slope form y - y1 = m(x - x1), we find the equation: y - 4820 = -19360(x - 1.35). Simplifying, y = -19360x + 26176. To predict the gallons sold at $1.20, substitute x = 1.20 into the equation: y = -19360(1.20) + 26176 = 7724 gallons.

Solve the Problem. -A Gas Station Sells 4820 Gallons of Regular Unleaded Gasoline