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

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