Solve the problem.

-A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3893 gallons on a day that they charge $1.40 per gallon. Find a linear
Equation for gallons sold (y) at a price x.
A) y = -18,540x + 29,832.8
B) y = -18,540x + 29,849
C) y = -18,540x + 29,865
D) y = -18,540x + 29,827.2

Question

Solve the problem.

-A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3893 gallons on a day that they charge $1.40 per gallon. Find a linear
Equation for gallons sold (y) at a price x.
A) y = -18,540x + 29,832.8
B) y = -18,540x + 29,849
C) y = -18,540x + 29,865
D) y = -18,540x + 29,827.2

Quizplus · Accepted Answer

We can use the two data points to form two equations: 
4820 = a(1.35) + b
3893 = a(1.4) + b
Solving for a and b by eliminating b, we get:
a = -18540
b = 29849
Thus, the linear equation for gallons sold (y) at a price x is:
y = -18540x + 29849. 
Therefore, the answer is choice B.

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