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.