## Alberta Free Tutoring And Homework Help For Math 20-1

0

Help

### Gary is a fitness trainer who makes 30 and 45 minute appointmentswith clients. Gary’s contract allows him to make up to 30 hours ofappointments in a week. State the inequality that represents all thepossible combinations of appointments that Gary can make in aweek. Graph the inequality.

1 year ago

You should start off by modelling this question. First start off with saying how many 30 minute appointments he can make and how many 45 minute appointments he can make. See where you can go from there.

1 year ago

$x=$x= Number of 30-minutes $\left(\frac{1}{2}hour\right)$(12 hour) appointments

$y=$y= Number of 45-minutes  $\left(\frac{3}{4}hour\right)$(34 hour) appointments

$\left(\frac{1}{2}\right)x+\left(\frac{3}{4}\right)y\le30$(12 )x+(34 )y30

#### Attached Graph:

1 year ago

Let x be the number of 30 minute appointments (0.5x) Let y be the number of 45 minute appointments (0.75y) By adding these together you get an inequality that shows you the possible combinations that Gary can make in a week. Thus the equation becomes: 0.5x + 0.75y ≤ 30 (in hours)

For an equation in minutes, you multiply each value used by 60 and thus the equation becomes: 30x + 45y ≤ 1800

1 year ago

Restrictions:

$0\le x\le60$0x60

$0\le y\le40$0y40

1 year ago