Final answer:
Nate pays $4.32 for school supplies after discount and sales tax.
Step-by-step explanation:
To find out how much Nate pays for school supplies, we need to calculate the cost of each item after the 50% discount, and then add them up. Let's break it down:
The cost of 3 pencils after a 50% discount is 3 * $0.75 = $2.25.
The discounted price of the eraser is $1.25 * 50% = $0.625.
The discounted price of the ruler is $0.75 * 50% = $0.375.
The discounted price of the notebook is $3.00 * 50% = $1.50.
Now, let's add up the discounted prices of all the items: $1.50 + $0.625 + $0.375 + $1.50 = $4.00.
Next, we need to calculate the sales tax. Nate pays an 8% tax on the total cost of the items, which is $4.00 * 8% = $0.32.
Finally, let's add the sales tax to the total cost of the items: $4.00 + $0.32 = $4.32.
Therefore, Nate pays $4.32 for school supplies, which is closest to option 3: $4.38.