Executive Auto Detailing charged Mr. Brennan $184.00 for detailing plus $48.00 per hour that the detailer worked on the car. The total charge was $453.00. How long did the detailer work to detail Mr. Brennan’s car?

A. 5 hours
Incorrect. The detailer worked more than 5 hours on the car.

B. 6 hours
Correct! Since the detailer actually worked 5.6 hours, this is the best estimate.

C. 7 hours
Incorrect. Solve the equation 453 = 184 + 48h.

D. 8 hours
Incorrect. Solve the equation 453 = 184 + 48h.

If (x, 9.6) is a solution to the equation 4x = 5y − 22, what is the value of x?

A. 12.08
Incorrect. Substitute 9.6 for y and solve for x. Simplify the expression 5(9.6) − 22 , and then divide both sides by 4.

B. 26
Incorrect. Substitute 9.6 for y and solve for x. Simplify the expression 5(9.6) − 22 , and then divide both sides by 4.

C. 6.5
Correct!

D. 3.28
Incorrect. Substitute 9.6 for y and solve for x. Simplify the expression 5(9.6) − 22 , and then divide both sides by 4.

What coordinate pair is in the solution set of y ≤ 2 5 x − 5?

A. (-1, 3)
Incorrect. The answer will be all points below the graph of the equation. It will also make the equation true when substituted for x and y.

B. (8, -5)
Correct! This ordered pair is a point on the graph and it makes the equation a true statement when substituted for x and y.

C. (-10, -1)
Incorrect. The answer will be all points below the graph of the equation. It will also make the equation true when substituted for x and y.

D. (4, 7)
Incorrect. The answer will be all points below the graph of the equation. It will also make the equation true when substituted for x and y.

The graph of the linear equation y = 5 4 x + 5 4 is shown below. Which coordinate pair is in the solution set y > 5 4 x + 5 4 ?

A. (6, 7)
Incorrect. The answer is an ordered pair that lies above the line because the inequality is greater the equation. It will also make the inequality true when substituted for x and y.

B. (2, -1)
Incorrect. The answer is an ordered pair that lies above the line because the inequality is greater the equation. It will also make the inequality true when substituted for x and y.

C. (-2, -5)
Incorrect. The answer is an ordered pair that lies above the line because the inequality is greater the equation. It will also make the inequality true when substituted for x and y.

D. (-6, 5)
Correct! This ordered pair is a point greater than graphed line and would be in the shaded part of the inequality. These values make the inequality a true statement when substituted for x and y.

If (-12, y) is a solution to the equation 3x − 6y − 48 = 0, what is the value of y?

A. -14
Correct! Substitute negative twelve for x and solve for y. Move the numbers without a variable to one side of the equation.

B. -8
Incorrect. Substitute negative twelve for x and solve for y. Move the numbers without a variable to one side of the equation.

C. -2
Incorrect. Substitute negative twelve for x and solve for y. Move the numbers without a variable to one side of the equation.

D. 40
Incorrect. Substitute negative twelve for x and solve for y. Move the numbers without a variable to one side of the equation.