Question

For the next five years, a dairy company wants to increase its daily milk processing capacity (in gallons) by the equation y = x6 − 9x4 + 70x2, where x is the number of years. How many years will it take until the company can process 630 gallons of milk in a day?

Answer 1

To determine the number of years needed for the company to process a certain amount of milk, we use the given function which relates the number of years, x, and the gallons of milk, y. We simply substitute the number of gallons to y and solve for x. 

y = x^6 − 9x^4 + 70x^2
630 = x^6 − 9x^4 + 70x^2

Solving for x, we will have

x = 4.8866 years or approximately 5 years