Question

17 G Natalie is going mountain biking. She can buy a bike for $250 or she can rent a bike for $30 an hour. In both cases, she must also rent a helmet for $5 an hour. Which inequality shows the number of hours Natalie must bike for the cost of buying a bike to be less than renting a bike? F 250 + 5x > 30x G 250 + 5x > 35x H 250 + 5x < 30x J 250 + 5x < 35x

Answer 1

Buying Option:

Bike = 250

Per hour = 5 (for helmet)

Renting Option:

Rent per hour = 30 + 5 = 35 (bike and helmet)

Let x be number of hours, so

Buying Option Cost = 250 + 5x

Renting Option Cost = 35x

Now, we want BUYING COST < RENTING COST, so

250 + 5x < 35 x

Correct Answer, J