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A taxicab charges \[tex]$1.75 for the flat fee and \$[/tex]0.25 for each mile. Write an inequality to determine how many miles Eddie can travel if he has \$15 to spend.

A. [tex] \[tex]$1.75 + \$[/tex]0.25x \leq \$15 [/tex]

B. [tex] \[tex]$1.75 + \$[/tex]0.25x \geq \$15 [/tex]

C. [tex] \[tex]$0.25 + \$[/tex]1.75x \leq \$15 [/tex]

D. [tex] \[tex]$0.25 + \$[/tex]1.75x \geq \$15 [/tex]



Answer :

GinnyAnswer
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]

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