inequalities

Question

gary is a fitness trainer that makes 30 and 45 minute appointments with clients, gary’s contract allows him to make up to 30 hours of appointments in a week. state the inequality that represents all the possible combinations of appointments that gary can make in a week. graph the inequality 

Answer 1

Hi Jen,

 

I'll use .5 to represent that 30 minutes is half an hour

 

.75 will represent 45 minutes

 

x = number of 30 minute appointments

 

y = number of 45 minute appointments

 

.5x + .75y ≤ 30

 

you can try the graphing site DESMOS to illustrate this inequality