Question

To enroll in lessons to learn about pottery wheel throwing, you must pay an enrollment of $20 for each lesson. The pottery studio also charges you $2.99 per pound for the amount of clay used.

Write an expression for the total cost of a person using c pounds of clay during a lesson. Use the expression to calculate the cost of a lesson where Sam uses 3.5 pounds of clay.

Answer 1

The expression for total cost is:

• 20 + 2.99c

The cost to Sam for a lesson he used 3.5 pounds of clay in is $30.47

The total cost to Sam can be found by the formula:

= Fixed cost + Variable cost

The fixed cost is the enrollment fee as it does not change = $20

The variable cost is the cost of the clay used:

= Cost per pound of clay x Number of pounds used

= 2.99 x c

= 2.99c

The total cost is therefore:

= 20 + 2.99c

__________________________________________________________

If Sam uses 3.5 pounds of clay, the cost of the lesson would be:

= 20 + 2.99c

= 20 + ( 2.99 x 3.5)

= $30.47

In conclusion, Sam's total cost for a lesson would be $30.47 for a lesson where he used 3.5 pounds of clay.

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