Question

a store offers a discount of 20% off the original price of an item. which equation represents the discounted price (d) of an item originally priced at $50?
a. $d = 50 - (0.20 \times 50)$
b. $d = 50 \times 0.20$
c. $d = 50 + (50 \times 0.20)$
d. $d = 50 - 0.20$

a freelancer charges $15 per hour and a $10 transportation fee. what equation models the total payment p for h hours of work?
a. $p = 10 + 15h$
b. $p = 15h - 10$
c. $p = 25h$
d. $p = 15 + 10h$

Explanation:

First Sub - Question (Discount Problem)

Step1: Find the discount amount

The discount is 20% of the original price (\(50\)). The formula for the discount amount is \(\text{Discount}=\text{Original Price}\times\text{Discount Rate}\), so the discount amount is \(0.20\times50\).

Step2: Find the discounted price

The discounted price (\(D\)) is the original price minus the discount amount. So \(D = 50-(0.20\times50)\).

Step1: Calculate the payment for hours worked

The freelancer charges \(\$15\) per hour, so for \(h\) hours, the payment for work is \(15h\).

Step2: Add the transportation fee

There is a \(\$10\) transportation fee. So the total payment \(P\) is the payment for work plus the transportation fee, which is \(P=10 + 15h\).

Answer:

a. \(D = 50-(0.20\times50)\)

Second Sub - Question (Freelancer Payment Problem)