Question

Nicole is hosting a large bridal shower for her friend and has $240 in her budget to rent a facility. The facility she choose for her party requires an $72 deposit plus $51 per hour. If there is no damage to the facility, one half of the deposit is refunded. If Nicole expects to get the deposit refund , how many hours can she rent the facility for her bridal shower?

Answer 1

She can rent the facility for 4 hours

Step-by-step explanation

The cost 'y' for renting the facility for h hours is:

`y=51h+72`

But if half the deposit is refunded (72/2 = 36), the cost is:

`y=51h+36`

If Nicole has $240 in her budget, the cost must be less than or equal to her budget:

`51h+36\le240`

Solving for h:

`\begin{gathered} 51h\le240-36 \\ 51h\le204 \\ h\le(204)/(51) \\ h\le4 \end{gathered}`

If Nicole rents the facility for 4 hours and there's no damage - so that she get's half of her deposit refunded - she'll spend $240, which is within her budget.