Question

9. Water is added to two containers for 20 minutes. The equations below model the ounces of

Answer 1

Answer:

792 ounces

Step-by-step explanation:

The equations below model the ounces of water, y, in each container after x minutes.

Container A: y = 62x + 48

Container B: y = -2x² + 80x + 120

Now, at a time when both the containers hold the same amount of water, is given by

62x + 48 = -2x² + 80x + 120

⇒ 2x² - 18x - 72 = 0

⇒ x² - 9x - 36 = 0

⇒ x² - 12x + 3x - 36 = 0

⇒ (x - 12)(x + 3) = 0

Hence, x = 12 or - 3.

But x can not be negative.

So, x = 12 minutes.

Therefore, after 12 minutes both the container will have the same amount of water and the quantity is = 62 × 12 + 48 = 792 ounces. (Answer)