Question

A warehouse charges its customers 6 dollars per day for every 10 cubic feet for space used. Suppose the number of cubic feet a company uses on day t is given by s(t)=30000-300t. Find how much the company pays for 30 days. Total Cost:?

Answer 1

to find the total cost accumulated over 30 days, you'll need to find the area under the function between t = 0 and t = 30. you can do this geometrically by plotting the graph and calculating the area under the curve (it'll be shaped like a triangle so you can simply calculate 1/2 bh). if you've learned about integrals, you could also take the integral of the function from t = 0 to t = 30.

that'll give you the total space used across all 30 days. from there, they charge 6 dollars for every 10 cubic feet, so you can simply divide by 10 and multiply by 6 dollars to get the sum across all 30 days.