SAT Math Multiple Choice Question 788: Answer and Explanation
A car rental agency charges a per day rental fee which includes a daily mileage allowanceplus a certain amount per mile driven over the allowance. The graph above comparesthe miles driven over the allowance and the total cost for a 3-day rental. What doesthe C-intercept most likely represent in this scenario?
- A. The per day rental fee for renting the car
- B. The number of miles a renter may drive the car per day
- C. The penalty a renter must pay if the daily mileage allowance is exceeded
- D. The total cost of a 3-day rental assuming the car is not driven over the allowance
Correct Answer: D
Category: Heart of Algebra / Linear Equations
Strategic Advice: In a real-world scenario, the slope of a line represents a unit rate and the y-intercept represents a flat fee or a starting amount. In some questions, you may need to use the axis titles to interpret the meaning of the intercept.
Getting to the Answer: With miles driven over the allowance plotted along the horizontal axis and the total cost for a 3-day rental plotted along the vertical axis (the C-axis), the point (0, 63) indicates that driving 0 miles over the allowance (or not driving over the allowance) results in a cost of $63. This makes (D) correct.