find the percent of change.
4. january 2006 salary: $600/week
january 2007 salary: $630/week
5. number of words in the first draft of an essay: 1032
number of words in the final draft of an essay: 774
6. a shoe store marks up the price of a pair of boots that cost the store $44.00 by 45%. what is the markup and new price of the pair of boots?
7. a real estate agency is selling a house at 22% off the original cost of $344,000. what is the discount and new price of the house?
8. a weightlifter can lift 90 pounds. after six months he can lift 125 pounds. what is the percent of increase in the amount of weight he can lift?
9. binders that originally sold for $4.95 each are now selling for $3.87 each. what is the percent of decrease in the price of the binders?

Question

Accepted Answer

### Part a
# Explanation:
## Step1: Find the change in salary
The change in salary is the difference between the 2007 salary and the 2006 salary. So we calculate $ 630 - 600 $.
$ 630 - 600 = 30 $

## Step2: Calculate the percent of change
The formula for percent of change is $ \text{Percent of Change} = \frac{\text{Change}}{\text{Original Amount}} \times 100\% $. The original amount is the 2006 salary, which is $ \$600 $. So we substitute the values into the formula: $ \frac{30}{600} \times 100\% $.
$ \frac{30}{600} \times 100\% = 0.05 \times 100\% = 5\% $

# Answer:
The percent of change is $ 5\% $ (increase)

### Part b
# Explanation:
## Step1: Find the change in the number of words
The change in the number of words is the difference between the first draft and the final draft. So we calculate $ 1032 - 774 $.
$ 1032 - 774 = 258 $

## Step2: Calculate the percent of change
Using the formula $ \text{Percent of Change} = \frac{\text{Change}}{\text{Original Amount}} \times 100\% $, where the original amount is the number of words in the first draft ($ 1032 $). Substitute the values: $ \frac{258}{1032} \times 100\% $.
$ \frac{258}{1032} \times 100\% \approx 0.25 \times 100\% = 25\% $ (decrease)

# Answer:
The percent of change is approximately $ 25\% $ (decrease)

### Part c
# Explanation:
## Step1: Calculate the markup
The markup is $ 45\% $ of the cost price ($ \$44.00 $). The formula for markup is $ \text{Markup} = \text{Cost Price} \times \text{Markup Rate} $. So we calculate $ 44 \times 0.45 $.
$ 44 \times 0.45 = 19.8 $

## Step2: Calculate the new price
The new price is the cost price plus the markup. So we calculate $ 44 + 19.8 $.
$ 44 + 19.8 = 63.8 $

# Answer:
The markup is $ \$19.80 $ and the new price is $ \$63.80 $

### Part d
# Explanation:
## Step1: Calculate the discount
The discount is $ 22\% $ of the original cost ($ \$344000 $). The formula for discount is $ \text{Discount} = \text{Original Cost} \times \text{Discount Rate} $. So we calculate $ 344000 \times 0.22 $.
$ 344000 \times 0.22 = 75680 $

## Step2: Calculate the new price
The new price is the original cost minus the discount. So we calculate $ 344000 - 75680 $.
$ 344000 - 75680 = 268320 $

# Answer:
The discount is $ \$75680 $ and the new price is $ \$268320 $

### Part e
# Explanation:
## Step1: Find the change in weight
The change in weight is the difference between the new weight and the original weight. So we calculate $ 125 - 90 $.
$ 125 - 90 = 35 $

## Step2: Calculate the percent of increase
Using the formula $ \text{Percent of Increase} = \frac{\text{Change}}{\text{Original Amount}} \times 100\% $, where the original amount is the initial weight ($ 90 $ pounds). Substitute the values: $ \frac{35}{90} \times 100\% $.
$ \frac{35}{90} \times 100\% \approx 0.3889 \times 100\% \approx 38.89\% $

# Answer:
The percent of increase is approximately $ 38.89\% $

### Part f
# Explanation:
## Step1: Find the change in price
The change in price is the difference between the original price and the new price. So we calculate $ 4.95 - 3.87 $.
$ 4.95 - 3.87 = 1.08 $

## Step2: Calculate the percent of decrease
Using the formula $ \text{Percent of Decrease} = \frac{\text{Change}}{\text{Original Amount}} \times 100\% $, where the original amount is the original price ($ \$4.95 $). Substitute the values: $ \frac{1.08}{4.95} \times 100\% $.
$ \frac{1.08}{4.95} \times 100\% \approx 0.2182 \times 100\% \approx 21.82\% $

# Answer:
The percent of decrease is approximately $ 21.82\% $

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QUESTION IMAGE

Question

Explanation:

Part a

Step1: Find the change in salary

Step2: Calculate the percent of change

Step1: Find the change in the number of words

Step2: Calculate the percent of change

Step1: Calculate the markup

Step2: Calculate the new price

Answer:

Part b