Question

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?

Answer 1

Given :

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.

To Find :

Which inequality shows the number of hours Natalie must bike for the cost of buying a bike to be less than renting a bike.

Solution :

Let, after t hours total money required is ( if she rent bike ).

T = 30t.

Money required to purchase bike , M = $250.

For cost of buying a bike to be less than renting a bike :

$30t>250\\\\t > \dfrac{25}{3}\ hours\\\\t>8\dfrac{1}{3}\ hours\\\\t>8\ hours \ 20 \ minutes$

Hence, this is the required solution.