Question

find the change in percent. state whether it is an increase/decrease!
new amount - original amount
original amount
⑨ the original cost of a sweater was $40 but now it is $30. find the change in percent.
⑩ a ball was $30, but now it costs $19. find the change in percent.
⑪ a hat was $16, but is on sale and now costs $10. find the change in percent.
⑫ football cleats originally $45 but now they are now $75. find the change in percent.
⑬ tent originally cost $50 but increased. now it costs $90. find the change in percent.

Explanation:

Step1: Calculate amount change

$\text{Change} = \text{New Amount} - \text{Original Amount}$

Step2: Calculate percent change

$\text{Percent Change} = \frac{\text{Change}}{\text{Original Amount}} \times 100\%$

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For Question 1:

Step1: Find amount change

$\$30 - \$40 = -\$10$

Step2: Compute percent change

$\frac{-\$10}{\$40} \times 100\% = -25\%$

For Question 2:

Step1: Find amount change

$\$10 - \$30 = -\$20$

Step2: Compute percent change

$\frac{-\$20}{\$30} \times 100\% \approx -66.7\%$

For Question 3:

Step1: Find amount change

$\$10 - \$16 = -\$6$

Step2: Compute percent change

$\frac{-\$6}{\$16} \times 100\% = -37.5\%$

For Question 4:

Step1: Find amount change

$\$75 - \$45 = \$30$

Step2: Compute percent change

$\frac{\$30}{\$45} \times 100\% \approx 66.7\%$

For Question 5:

Step1: Find amount change

$\$90 - \$50 = \$40$

Step2: Compute percent change

$\frac{\$40}{\$50} \times 100\% = 80\%$

Answer:

1. 25% Decrease
2. ≈66.7% Decrease
3. 37.5% Decrease
4. ≈66.7% Increase
5. 80% Increase