Amanda sells homemade birthday cakes for a profit of $39 per cake. She is considering switching to a new type of icing that will increase her profit, as expressed by the function y = 45x, where x is the number sold and y is the amount of profit.
How many more dollars will Amanda earn on each cake if she switches to the new material? Explain how you found your answer. (5 points)
To find how many more dollars Amanda will earn on each cake if she switches to the new material, we need to subtract her previous profit from her new profit.
Amanda's previous profit per cake was $39, as stated in the problem.
Her new profit per cake is given by the function y = 45x, where x is the number of cakes sold.
To find the difference, we subtract $39 from the given function:
45x - 39
So, Amanda will earn 45x - 39 more dollars on each cake if she switches to the new material.