Question

skis cost $25 an hour to rent plue a $10 flat fee. The rental place takes cash only and Rob has $135 in his pocket. How many hours can he ski for?a) Let x beb) write an inequality in terms of xc) solve your inequality to answer the question

Answer 1

Answer:

• (b)25x+10≤135

,

• (c)5 hours

Explanation:

a) Let x be the number of hours he can ski.

b)

• Skis cost $25 an hour to rent, therefore cost for x hours = $25x

,

• Flat fee = $10

,

• Rob has $135 in his pocket.

An inequality that represents this situation is:

$25x+10\le135$

c) Next, solve for x:

$\begin{gathered} 25x\le135-10 \\ 25x\le125 \\ x\le\frac{125}{5} \\ x\le5 \end{gathered}$

Rob can ski for 5 hours.