# How do you write the word phrases into algebraic expressions: The cost of playing tennis is $25 for a membership plus$8.50 per hour on court?

Jul 24, 2016

cost($) = 25 + 8.5n #### Explanation: The membership fee is a $\textcolor{b l u e}{\text{fixed cost}}$and does not vary. The cost for playing will depend on $\textcolor{red}{\text{number of hours played}}$this quantity will vary. If we let the number of hours played be n. Then the cost of playing n hours will be 8.5n. for 2 hours, n= 2 rArr"cost"=8.5xx2=$17.00

for 5 hours, n = 5 $\Rightarrow \text{cost"=8.5xx5=$42.50" etc}$Cost ($ ) =25 + 8.5n

This means that if you take out a membership and play for 4 hours then.

Cost = 25 +(8.5xx4)=25+34=\$59.00