# 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?

##### 1 Answer

Jul 24, 2016

cost($) = 25 + 8.5n

#### Explanation:

The membership fee is a

#color(blue)"fixed cost"# and does not vary.The cost for playing will depend on

#color(red)"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

#rArr"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#