To solve the problem presented in the image, we need to calculate the
discounted price for each item after applying the given discount percentages. The formula to calculate the discounted price is:
\[
\text{Discounted Price} = \text{Original Price} \times (1 - \text{Discount Rate})
\]
Where:
-
Original Price is the initial price of the item.
-
Discount Rate is the percentage discount expressed as a decimal.
Let's go through each item step by step:
---
Item 1:
-
Original Price: $50
-
Discount Rate: 20% (which is 0.20 as a decimal)
\[
\text{Discounted Price} = 50 \times (1 - 0.20) = 50 \times 0.80 = 40
\]
So, the discounted price is
$40.
---
Item 2:
-
Original Price: $75
-
Discount Rate: 30% (which is 0.30 as a decimal)
\[
\text{Discounted Price} = 75 \times (1 - 0.30) = 75 \times 0.70 = 52.50
\]
So, the discounted price is
$52.50.
---
Item 3:
-
Original Price: $100
-
Discount Rate: 15% (which is 0.15 as a decimal)
\[
\text{Discounted Price} = 100 \times (1 - 0.15) = 100 \times 0.85 = 85
\]
So, the discounted price is
$85.
---
Item 4:
-
Original Price: $60
-
Discount Rate: 25% (which is 0.25 as a decimal)
\[
\text{Discounted Price} = 60 \times (1 - 0.25) = 60 \times 0.75 = 45
\]
So, the discounted price is
$45.
---
Item 5:
-
Original Price: $80
-
Discount Rate: 10% (which is 0.10 as a decimal)
\[
\text{Discounted Price} = 80 \times (1 - 0.10) = 80 \times 0.90 = 72
\]
So, the discounted price is
$72.
---
Item 6:
-
Original Price: $90
-
Discount Rate: 35% (which is 0.35 as a decimal)
\[
\text{Discounted Price} = 90 \times (1 - 0.35) = 90 \times 0.65 = 58.50
\]
So, the discounted price is
$58.50.
---
Item 7:
-
Original Price: $40
-
Discount Rate: 40% (which is 0.40 as a decimal)
\[
\text{Discounted Price} = 40 \times (1 - 0.40) = 40 \times 0.60 = 24
\]
So, the discounted price is
$24.
---
Item 8:
-
Original Price: $120
-
Discount Rate: 20% (which is 0.20 as a decimal)
\[
\text{Discounted Price} = 120 \times (1 - 0.20) = 120 \times 0.80 = 96
\]
So, the discounted price is
$96.
---
Final Answer:
\[
\boxed{40, 52.50, 85, 45, 72, 58.50, 24, 96}
\]
Parent Tip: Review the logic above to help your child master the concept of osmosis worksheet biology.
