Answer:
The Leaping Larry's Dancing School will be more expensive for a number of classes above 7.5 or equal to and above 8 classes
Step-by-step explanation:
The given information are;
The amount Dapper Dan's Dancing School charges for enrollment = $85
The amount Dapper Dan's Dancing School charges per class = $6
The amount Leaping Larry's Dancing School charges for enrollment = $40
The amount Leaping Larry's Dancing School charges per class = $12
Therefore, we have for X number of classes, when the cost of Dapper Dan's Dancing School and Leaping Larry's Dancing School are equal
$85 + X × $6 = $40 + X × $12
$85 - $40 = X × $12 - X × $6
$45 = X × $6
X = $45/$6 = 7.5
From which we have at X = 7.5 classes, the cost of the two dancing schools will be equal
However below 7.5 classes, for 7 classes for example, we have;
Cost of Dapper Dan's Dancing School = $85 + 7 × $6 = $127
Cost of Leaping Larry's Dancing School = $40 + 7 × $12 = $124
Therefore, for the number of classes below 7.5, Dapper Dan's Dancing School is more expensive than Leaping Larry's Dancing School
Above 7.5 classes, for 8 classes for example, we have;
Cost of Dapper Dan's Dancing School = $85 + 8 × $6 = $133
Cost of Leaping Larry's Dancing School = $40 + 8 × $12 = $136
Therefore, for the number of classes below 7.5, Dapper Dan's Dancing School is less expensive than Leaping Larry's Dancing School
Therefore, Leaping Larry's Dancing School will be more expensive for a number of classes above 7.5 or equal to and above 8 classes.
