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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.

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Answer:

  • 1.75 +0.25m ≤ 15
  • 53 miles

Explanation:

You want an inequality to determine how many miles eddie can travel if he has $15 to spend on a taxicab that charges $1.75 for the flat fee and $0.25 for each mile.

Inequality

The mileage charge is the per-mile charge ($0.25) multiplied by the number of miles (m). It will be $0.25m.

The total charge is the mileage charge plus the flat fee. Eddie wants that to be no greater than $15.

1.75 +0.25m ≤ 15

Solution

We can solve this inequality in 2 steps.

0.25m = 13.25 . . . . . subtract 1.75

m = 53 . . . . . . . . . . . divide by 0.25 (or multiply by 4)

Eddie can travel 53 miles if he has $15 to spend.

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User Colin Gravill
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