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

Question

a $1.75 + $0.25x ≤ $15
b $1.75 + $0.25x ≥ $15
c $0.25 + $1.75x ≤ $15
d $0.25 + $1.75x ≥ $15

Answer 1

To determine how many miles Eddie can travel if he has $15 to spend, we need to set up an inequality that reflects the total cost of the taxi ride.

The total cost of the taxi ride includes a flat fee of $1.75 and an additional $0.25 for each mile traveled (let's call the number of miles \( x \)).

So, the total cost \(C\) is given by:
\[ C = 1.75 + 0.25x \]

Eddie has a budget of $15. Therefore, the total cost should be less than or equal to $15.

The inequality that represents this situation is:
\[ 1.75 + 0.25x \leq 15 \]

So, the correct answer is:
a) \( 1.75 + 0.25x \leq 15 \)