Math / Numbers & Operations

QuestionThe price of a gallon of orange juice went from $\$ 2.75$ to $\$ 4.80$ . What is the percent of increase? Round to the nearest percent.

Studdy Solution

STEP 1

1. The percent increase is calculated using the formula: $\text{Percent Increase} = \left( \frac{\text{New Price} - \text{Old Price}}{\text{Old Price}} \right) \times 100$
2. The old price of orange juice is $\$ 2.75$ .
3. The new price of orange juice is $\$ 4.80$ .
4. The result should be rounded to the nearest percent.

STEP 2

1. Calculate the difference between the new price and the old price.
2. Divide the difference by the old price.
3. Convert the result to a percentage.
4. Round the percentage to the nearest whole number.

STEP 3

Calculate the difference between the new price and the old price.
$\text{Difference} = \text{New Price} - \text{Old Price} = 4.80 - 2.75$

STEP 4

Simplify the difference.
$\text{Difference} = 2.05$

STEP 5

Divide the difference by the old price to find the ratio of the increase.
$\text{Ratio} = \frac{\text{Difference}}{\text{Old Price}} = \frac{2.05}{2.75}$

STEP 6

Simplify the ratio.
$\text{Ratio} \approx 0.7455$

STEP 7

Convert the ratio to a percentage by multiplying by 100.
$\text{Percent Increase} = 0.7455 \times 100$

STEP 8

Simplify the multiplication to find the percentage.
$\text{Percent Increase} \approx 74.55\%$

STEP 9

Round the percentage to the nearest whole number.
$\text{Percent Increase} \approx 75\%$
Solution: The percent increase in the price of a gallon of orange juice is approximately $75\%$ .

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QuestionThe price of a gallon of orange juice went from $\$ 2.75$ to $\$ 4.80$ . What is the percent of increase? Round to the nearest percent.

Studdy Solution

STEP 1

STEP 2

1. Calculate the difference between the new price and the old price.
2. Divide the difference by the old price.
3. Convert the result to a percentage.
4. Round the percentage to the nearest whole number.

STEP 3

Calculate the difference between the new price and the old price.
$\text{Difference} = \text{New Price} - \text{Old Price} = 4.80 - 2.75$

STEP 4

Simplify the difference.
$\text{Difference} = 2.05$

STEP 5

Divide the difference by the old price to find the ratio of the increase.
$\text{Ratio} = \frac{\text{Difference}}{\text{Old Price}} = \frac{2.05}{2.75}$

STEP 6

Simplify the ratio.
$\text{Ratio} \approx 0.7455$

STEP 7

Convert the ratio to a percentage by multiplying by 100.
$\text{Percent Increase} = 0.7455 \times 100$

STEP 8

Simplify the multiplication to find the percentage.
$\text{Percent Increase} \approx 74.55\%$

STEP 9

Round the percentage to the nearest whole number.
$\text{Percent Increase} \approx 75\%$
Solution: The percent increase in the price of a gallon of orange juice is approximately $75\%$ .

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QuestionThe price of a gallon of orange juice went from $2.75\$ 2.75$2.75 to $4.80\$ 4.80$4.80. What is the percent of increase? Round to the nearest percent.

Studdy Solution

STEP 1

STEP 2

1. Calculate the difference between the new price and the old price.2. Divide the difference by the old price.3. Convert the result to a percentage.4. Round the percentage to the nearest whole number.

STEP 3

Calculate the difference between the new price and the old price.Difference=New Price−Old Price=4.80−2.75 \text{Difference} = \text{New Price} - \text{Old Price} = 4.80 - 2.75 Difference=New Price−Old Price=4.80−2.75

STEP 4

Simplify the difference.Difference=2.05 \text{Difference} = 2.05 Difference=2.05

STEP 5

Divide the difference by the old price to find the ratio of the increase.Ratio=DifferenceOld Price=2.052.75 \text{Ratio} = \frac{\text{Difference}}{\text{Old Price}} = \frac{2.05}{2.75} Ratio=Old PriceDifference​=2.752.05​

STEP 6

Simplify the ratio.Ratio≈0.7455 \text{Ratio} \approx 0.7455 Ratio≈0.7455

STEP 7

Convert the ratio to a percentage by multiplying by 100.Percent Increase=0.7455×100 \text{Percent Increase} = 0.7455 \times 100 Percent Increase=0.7455×100

STEP 8

Simplify the multiplication to find the percentage.Percent Increase≈74.55% \text{Percent Increase} \approx 74.55\% Percent Increase≈74.55%

STEP 9

Round the percentage to the nearest whole number.Percent Increase≈75% \text{Percent Increase} \approx 75\% Percent Increase≈75%Solution: The percent increase in the price of a gallon of orange juice is approximately 75% 75\% 75%.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionThe price of a gallon of orange juice went from $\$ 2.75$ to $\$ 4.80$ . What is the percent of increase? Round to the nearest percent.

1. Calculate the difference between the new price and the old price.
2. Divide the difference by the old price.
3. Convert the result to a percentage.
4. Round the percentage to the nearest whole number.

Calculate the difference between the new price and the old price.
$\text{Difference} = \text{New Price} - \text{Old Price} = 4.80 - 2.75$

Simplify the difference.
$\text{Difference} = 2.05$

Divide the difference by the old price to find the ratio of the increase.
$\text{Ratio} = \frac{\text{Difference}}{\text{Old Price}} = \frac{2.05}{2.75}$

Simplify the ratio.
$\text{Ratio} \approx 0.7455$

Convert the ratio to a percentage by multiplying by 100.
$\text{Percent Increase} = 0.7455 \times 100$

Simplify the multiplication to find the percentage.
$\text{Percent Increase} \approx 74.55\%$

Round the percentage to the nearest whole number.
$\text{Percent Increase} \approx 75\%$
Solution: The percent increase in the price of a gallon of orange juice is approximately $75\%$ .