To determine how many miles Eddie can travel if he has [tex]$\$[/tex] 15$ to spend, we need to set up and solve an inequality based on the given charges:
1. Flat fee: \$1.75
2. Cost per mile: \$0.25
3. Total amount Eddie has: \$15
We start with the inequality that represents the total cost Eddie can afford:
[tex]\[
\[tex]$1.75 + \$[/tex]0.25 \cdot x \leq \$15
\][/tex]
where:
- \$1.75 is the flat fee.
- \$0.25 is the charge per mile.
- \(x\) is the number of miles.
The correct inequality to represent this situation is:
[tex]\[
\[tex]$1.75 + \$[/tex]0.25x \leq \$15
\][/tex]
Now, let's solve the inequality step-by-step to find the number of miles \(x\) Eddie can travel.
1. Subtract the flat fee from both sides of the inequality:
[tex]\[
0.25x \leq 15 - 1.75
\][/tex]
2. Simplify the right-side calculation:
[tex]\[
0.25x \leq 13.25
\][/tex]
3. Divide both sides by the cost per mile (0.25):
[tex]\[
x \leq \frac{13.25}{0.25}
\][/tex]
4. Perform the division:
[tex]\[
x \leq 53
\][/tex]
Thus, Eddie can travel up to 53 miles with his \$15.
Therefore, the correct inequality is:
[tex]\[
\[tex]$1.75 + \$[/tex]0.25x \leq \$15
\][/tex]
