Linear Equations Of Problem Scenarios

Question

A dance academy charges $30 to use the facility and $25 per hour for instruction. Write an equation that gives the total cost to learn dance at the academy for an unspecified number of hours.

Write an equation for this problem

Answer 1

The studio charges $30 to use it (like a reservation or deposit), so no matter what it's going to cost at least $30.

They also charge $25 per hour for lessons.

So the total cost will be the cost of the deposit plus the cost for the lessons.

If we say our total cost is C, and the number of hours is h, then we can write an equation for our cost:

C = 30 + 25h

So our cost will be $30 plus $25 for each hour