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1 month ago

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Use the drawing tool(s) to form the correct answer on the provided number line. Will brought a 144-ounce cooler filled with wate

r to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and put the same amount of water in each cup. Find and graph the number of ounces of water, x, that Will could have put in each cup.

1 answer:

Zina [12.3K]1 month ago

6 0

Answer:

Total water in the cooler = 144 ounces

Water used for his bottle = 16 ounces

Water in each plastic cup = x ounces

Total number of cups = 16

The equation reflecting this information is

⇒ 16 + 16 x = 144

⇒16 x = 144 - 16

⇒16 x = 128

⇒ x = 128 ÷ 16

⇒ x = 8

Amount of water per cup = 8

It does not specify if after filling 16 plastic cups there is water remaining in the cooler.

If some water remains in the cooler after filling those cups, let’s say its volume is y -ounces.

Then the equation would change to

⇒144 = 16 + 16 x + y

⇒ 16 x + y = 144 - 16

⇒16 x + y = 128

This results in an equation with two variables, meaning that for various amounts of water left in the cooler (y), different amounts of water can go into the cups (x).

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Since f''(x) is positive, the function f(x) achieves its minimum at x=78

When x is set to 78, the corresponding y value will be

$\Rightarrow y = \sqrt{16900-x^2}=\sqrt{16900-78^2}=104$

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