A pizza shop charges customers based on the area of the pizza they order. The cost of the pizza in dollars can be represented by S(r)= 0.10πr^2

1. Let's review the information provided to us to answer the question correctly:

Cost of the pizza = $ 0.10 * π * r², where r = radius of the pizza in inches

2. What does the constant 0.10 in the function represent?

Let's recall the formula of the area of a circle, in this case, the area of the pizza:

Area = π * r², therefore the constant 0.10 that is multiplying the area of the pizza, is the cost of the pizza in dollars per square inch and the total cost is the result of the multiplication of the area by 0.10. 18.30 inches

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