A rental car company charges $76.50 per day to rent a car and $0.06 for every mile driven. Hunter wants to rent a car, knowing that:

He plans to drive 400 miles.

He has at most $330 to spend.

Use the drop-down menu below to write an inequality representing d*d*, the total number of days Hunter can rent the car while staying within his budget.

To create the inequality, we need to consider the total cost of renting the car, which includes both the daily rental fee and the cost per mile driven.

### Step 1: Calculate the cost for driving 400 miles.
The company charges $0.06 per mile, so for 400 miles, the cost would be:
\[
0.06 \times 400 = 24
\]
This means Hunter will spend $24 just for driving 400 miles.

### Step 2: Write the total cost equation.
Let $ d $ represent the number of days Hunter rents the car. The total cost will be the sum of the daily rental charge and the cost for driving 400 miles.

The total cost can be written as:
\[
76.50 \times d + 24
\]
Here, $ 76.50 \times d $ represents the cost for renting the car for $ d $ days, and $24 is the cost for driving 400 miles.

### Step 3: Write the inequality.
Hunter has at most $330 to spend, so the total cost must be less than or equal to $330:
\[
76.50 \times d + 24 \leq 330
\]

### Step 4: Simplify the inequality.
To isolate $ d $, subtract $24 from both sides of the inequality:
\[
76.50 \times d \leq 306
\]

Finally, divide both sides by $76.50 to solve for $ d $:
\[
d \leq \frac{306}{76.50}
\]

Thus, the inequality representing the number of days $ d $ Hunter can rent the car while staying within his budget is:
\[
\boxed{76.50 \times d + 24 \leq 330}
\]

Would you like more details or have any questions about this solution?

---

Here are 5 follow-up questions to expand on the information:
1. How many days can Hunter rent the car if he spends the maximum amount of $330?
2. What would be the inequality if the daily rental fee increased to $80 per day?
3. How much money would Hunter have left if he rented the car for 3 days?
4. What would the inequality be if Hunter planned to drive 500 miles instead of 400?
5. How many miles can Hunter drive if he rents the car for 2 days and spends the remaining money on driving?

**Tip:** When working with inequalities involving money, always break down the total costs into their components (e.g., daily charges and mileage) to make sure all parts of the budget are accounted for.

Learn how to calculate car rental costs using inequalities in this math problem solution. Hunter plans to rent a car with a daily fee of $76.50 and a mileage cost of $0.06 per mile, with a budget constraint of $330. Understand how to formulate and solve inequalities to determine the number of days Hunter can rent the car while staying within budget. Suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation