To obtain a rough estimate of the development cost, Abigail, the accountant working for Pinecrest Enterprises, assumes that the total cost C (in millions of dollars) is given by the formula C= 20y + 15, where y is the cost per subdivision. If x represents the cost of a single family home in a subdivision, then the cost per subdivision y is given by the formula y= 50 x + 5.

Question

To obtain a rough estimate of the development cost, Abigail, the accountant working for Pinecrest Enterprises, assumes that the total cost C (in millions of dollars) is given by the formula  C= 20y + 15, where y is the cost per subdivision.  If x represents the cost of a single family home in a subdivision, then the cost per subdivision y is given by the formula y=  50 x + 5.

Find the formula for the total cost C as a function of x. Enter your answer in the form C = mx+b.

Steve · Answer

y(x) = 50x+5 C(y) = 20y+15 So, C(x) = 20(50x+5)+15 = 1000x+115