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icesca has at most $24.50 for a taxi ride. The cost to enter the $6.25 and it cost $.25 per mile. What is the most amount of 'rancesca can go in the taxi? Write an inequality and solve.

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Final answer:

Francesca can travel up to 73 miles in a taxi with her budget of $24.50, as determined by solving the inequality 6.25 + 0.25m ≤ 24.50.

Step-by-step explanation:

To determine the maximum distance Francesca can travel in a taxi with $24.50, we need to set up an inequality. The cost of a taxi ride includes a flat entry fee plus a cost per mile. The entry fee is $6.25, and the cost per mile is $0.25. Let's designate the number of miles Francesca can travel as m. The inequality representing her situation is:

6.25 + 0.25m ≤ 24.50

To solve for m, we subtract $6.25 from both sides, giving us:

0.25m ≤ 18.25

Dividing both sides by 0.25, we find:

m ≤ 73

So, Francesca can travel up to 73 miles with the $24.50 she has for the taxi ride.

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