Melanie wants to rent a bike on her vacation for less than $50. At Mike's Bike Shop, she can rent a bike for $8 per hour plus a $6 flat fee. Any portion of an hour is charged as a full hour.

Question

Which inequality will help Melanie find the maximum number of hours she can rent the bike? (h represents the number of hours Melanie can rent the bike.)
Responses
8h+6≥50

8h+6≤50

8h+6<50

8h+6>50

Answer 1

To determine how many hours Melanie can rent the bike without exceeding her budget of $50, we can set up an inequality based on the cost of renting the bike.

The total cost \( C \) of renting the bike is given by the formula: \[ C = 8h + 6 \] where \( h \) is the number of hours she rents the bike.

Since Melanie wants to spend less than $50, we need to set up the inequality as follows: \[ 8h + 6 < 50 \]

This inequality represents the condition that the total cost must be less than $50.

So, the correct response is: 8h + 6 < 50