Question

Jenny is starting a cake baking business. She plans on selling each cake for $15 and her cost will be $5 per cake. The equipment and supplies will cost $250. Jenny orders enough supplies to make 200 cakes and determines that the profit can be modeled by the function P=10x−250.
What is the domain of this function in this situation? (Hint: domain includes all possible x-values)
{0≥x≥200}


all real numbers


x≥15


{0≤x≤200}

Answer 1

The domain is {0≤x≤200}.

This is because the domain is x, the number of cakes.  The smallest number of cakes she can bake is 0.

Since she is buying enough materials to make 200 cakes, this number is the largest number of cakes she can bake.