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Math  /  Numbers & Operations

QuestionFind the percent of increase or decrease. 1) Find the percent of change from 688 qt to 172 qt . \qquad (172−088688)⋅100\left(\frac{172-088}{688}\right) \cdot 100 2) Find the percent of change from 160 cups to 404 cups. \qquad 3) Find the percent of change from 800 oz to 550 oz . \qquad 4) Find the percent of change from 3,690ft3,690 \mathrm{ft} to 31,365ft31,365 \mathrm{ft}. \qquad 5) Find the percent of change from 1,096gal1,096 \mathrm{gal} to 137 gal .

Studdy Solution

STEP 1

1. Percent change is calculated using the formula: $ \text{Percent Change} = \left(\frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}\right) \times 100 \]
2. A positive result indicates a percent increase, while a negative result indicates a percent decrease.

STEP 2

1. Calculate the percent change from 688 qt to 172 qt.
2. Calculate the percent change from 160 cups to 404 cups.
3. Calculate the percent change from 800 oz to 550 oz.
4. Calculate the percent change from 3,690 ft to 31,365 ft.
5. Calculate the percent change from 1,096 gal to 137 gal.

STEP 3

Calculate the percent change from 688 qt to 172 qt.
Percent Change=(172−688688)×100\text{Percent Change} = \left(\frac{172 - 688}{688}\right) \times 100
=(−516688)×100= \left(\frac{-516}{688}\right) \times 100
=−75%= -75\%
This indicates a 75% decrease.

STEP 4

Calculate the percent change from 160 cups to 404 cups.
Percent Change=(404−160160)×100\text{Percent Change} = \left(\frac{404 - 160}{160}\right) \times 100
=(244160)×100= \left(\frac{244}{160}\right) \times 100
=152.5%= 152.5\%
This indicates a 152.5% increase.

STEP 5

Calculate the percent change from 800 oz to 550 oz.
Percent Change=(550−800800)×100\text{Percent Change} = \left(\frac{550 - 800}{800}\right) \times 100
=(−250800)×100= \left(\frac{-250}{800}\right) \times 100
=−31.25%= -31.25\%
This indicates a 31.25% decrease.

STEP 6

Calculate the percent change from 3,690 ft to 31,365 ft.
Percent Change=(31,365−3,6903,690)×100\text{Percent Change} = \left(\frac{31,365 - 3,690}{3,690}\right) \times 100
=(27,6753,690)×100= \left(\frac{27,675}{3,690}\right) \times 100
=750%= 750\%
This indicates a 750% increase.

STEP 7

Calculate the percent change from 1,096 gal to 137 gal.
Percent Change=(137−1,0961,096)×100\text{Percent Change} = \left(\frac{137 - 1,096}{1,096}\right) \times 100
=(−9591,096)×100= \left(\frac{-959}{1,096}\right) \times 100
=−87.5%= -87.5\%
This indicates an 87.5% decrease.

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