# SAT Math Multiple Choice Question 813: Answer and Explanation

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**Question: 813**

**3.** To take the neighbor's children to the movies, Mellie charges $5 for gas and $8 perhour spent with the children. Ron charges $3 for gas and $8.50 per hour spent withthe children. If *h* represents the number of hours spent with the children, what are all the values of*h* for which Ron's total charge is greater than Mellie's total charge?

- A.
- B.
- C.
- D.

**Correct Answer:** D

**Explanation:**

**D**

**Difficulty:** Easy

**Category:** Heart of Algebra / Inequalities

**Strategic Advice:** Use the Kaplan Strategy for Translating English into Math to write an expression (in words first) that represents each person's total charge.

**Getting to the Answer:** If *h* represents the number of hours spent with the children, and Mellie charges $8 per hour, then she charges a total of 8 times the numbers of hours (8*h*) plus the flat fee for gas ($5). Use the expression 8*h* + 5 to represent Mellie's total charge. Similarly, Ron charges a total of 8.5 times the numbers of hours (8.5*h*) plus the flat fee for gas ($3), so use the expression 8.5*h* + 3 to represent Ron's total charge. Now, set Ron's expression greater (>) than Mellie's (per the question) and solve for *h*. To make the numbers easier to work with, you can multiply each term by 10 (which moves the decimal point one place to the right):

The correct inequality is given in (D).