https://file.aiquickdraw.com/mathbot/file/1726719474925hlmyt1w6.jpg

Let's break down the problem from the image step by step.

### Given information:
- A carpool service charges a **flat rate of $2**.
- An additional **$0.80 per mile**.
- Tamara has at most **$15** to spend.

We are asked to:
1. Write an inequality representing the maximum number of miles Tamara can travel.
2. Determine the maximum number of miles she can travel, rounding to two decimal places.

### Step 1: Forming the inequality

Let $ x $ represent the number of miles Tamara can travel. The total cost of the car ride includes the flat rate of $2 and the variable cost of $0.80 per mile. Therefore, the total cost is:

\[
\text{Total cost} = 2 + 0.80x
\]

Since Tamara has at most $15 to spend, the inequality will be:

\[
2 + 0.80x \leq 15
\]

### Step 2: Solving for $ x $

We now solve this inequality for $ x $.

\[
2 + 0.80x \leq 15
\]
Subtract 2 from both sides:

\[
0.80x \leq 13
\]
Now divide both sides by 0.80:

\[
x \leq \frac{13}{0.80}
\]
\[
x \leq 16.25
\]

### Conclusion:
- The inequality that represents the situation is:  
  \[
  2 + 0.80x \leq 15
  \]
- The maximum number of miles Tamara can travel is **16.25 miles**.

---

Would you like further details or explanations on this?

Here are five related questions:
1. What would the inequality look like if the flat rate was $3 instead of $2?
2. How would the solution change if Tamara had $20 to spend?
3. What if the cost per mile increased to $1.00 per mile?
4. How could you graph the inequality on a coordinate plane?
5. How many miles could Tamara travel if she had exactly $15.50?

**Tip:** When solving inequalities, always remember to reverse the inequality sign if multiplying or dividing by a negative number.

A carpool service charges a flat rate of $2 plus an additional $0.80 per mile. If Tamara has at most $15 to spend on the cab ride, how many miles could she travel? Write a linear inequality representing the maximum number of miles Tamara can travel without using the $ symbol. Round your answer to two decimal places if necessary.

Learn how to solve a linear inequality problem related to a carpool service charging $2 flat rate plus $0.80 per mile. Determine the maximum number of miles Tamara can travel with at most $15. Suitable for Grades 7-9, this solution includes step-by-step explanations and key algebraic concepts.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation