Question

Renting a helicopter ride from Pilot A costs $1.50 per minute plus an initial fee of $5.00. Renting a helicopter ride from Pilot B costs $5 per minute with no initial fee. The cost to ride a helicopter depends on the number of minutes, m, rented. Which inequality best represents the situation when the cost to fly with Pilot A is more than the cost to fly with Pilot B?

a) $1.50m + $5.00 > $5.00m
b) $1.50m > $5.00
c) $5.00m + $1.50 > $5.00
d) $5.00 > $1.50m

Answer 1

The correct inequality representing when Pilot A is more expensive than Pilot B is $1.50m + $5.00 > $5.00m, where m represents the number of minutes rented.

Step-by-step explanation:

The inequality that best represents the situation when the cost to fly with Pilot A is more than the cost to fly with Pilot B is given by the equation $1.50m + $5.00 > $5.00m. Here, m represents the number of minutes the helicopter is rented. To understand when Pilot A becomes more expensive, you have to compare the total cost for each pilot over the same number of minutes and find when Pilot A's cost exceeds Pilot B's cost. In this situation, Pilot A charges a lower rate per minute but includes an initial fee, and Pilot B charges a higher rate per minute but with no initial fee.