Helga teaches dance classes. She charges for the classes as shown below.
Option 1: $80 per month for five classes
Option 2: $900 per year for 60 classes
Option 3: $174 for 12 classes
Calculate the constant of proportionality for each class. Then select the true statements below.
Option 2 and option 3 cost the same amount per class.
Option 1 costs $1 more per class than option 2 costs per class.
Option 3 costs the least amount per class.
Option 3 costs $1 more per class than option 1 costs per class.
Option 1 and option 3 cost the same amount per class.
To calculate the constant of proportionality for each class:
Option 1:
$80 per month for five classes
Constant of proportionality = $80 / 5 = $16 per class
Option 2:
$900 per year for 60 classes
Constant of proportionality = $900 / 60 = $15 per class
Option 3:
$174 for 12 classes
Constant of proportionality = $174 / 12 = $14.50 per class
Now, looking at the statements:
- Option 1 and option 3 cost the same amount per class. (True)
- Option 1 costs $1 more per class than option 2 costs per class. (False - option 1 costs $1 less per class than option 2)
- Option 3 costs $1 more per class than option 1 costs per class. (False - option 3 costs $1.50 less per class than option 1)
- Option 3 costs the least amount per class. (True)
- Option 2 and option 3 cost the same amount per class. (False - option 3 costs $0.50 less per class than option 2)