Question

Aleah enjoys swimming and skating with her friends. She has a budget where she spends no more than $80 a month for her activities. Swimming costs $5 each time and skating costs $4 each time.
a) define the variables
b) are there any restrictions on the variables?
c) write a linear inequality to represent this situation
d) graph this linear inequality

Answer 1

a) define the variables
The variables are x and y ; x can represent the number of times Aleah goes swimming ; while y can represents the number of times Aleah goes skating.

b) are there any restrictions on the variables? 
The total sum of both activities must be equal or less than $80 a month

c) write a linear inequality to represent this situation
Swimming costs $5 each time and skating costs $4 each time. No more than $80 a month.

5x + 4y < 80

You can graph linear inequality using these coordinates.
x     y
16  0
12  5
8    10 
4    15
0     20