Question

1. a clothing store is having a sale. all items are initially discounted by 20%. on top of that, if you are a rewards member, you get an additional 10% off the sale price.

part a: a jacket originally cost $75.00. what is the price of the jacket after the initial 20% discount?
a. $55.00
b. $60.00
c. $15.00
d. $70.00
part b: if a rewards member buys the same jacket, what is the final price they pay after both discounts?
a. $48.00
b. $50.00
c. $54.00
d. $66.00

1. a survey was conducted at a local gym to record the number of members who prefer cardio workouts or weightlifting based on their membership type. the results are shown in the table.

gym preferences
silver membership: cardio 8, weightlifting 7
gold membership: cardio 10, weightlifting 15
what percentage of the gym members prefer weightlifting?
a. 42%
b. 45%
c. 55%
d. 58%

Explanation:

Part A:

Step1: Calculate the price after 20% discount

The formula for calculating the price after a discount is \(P = \text{Original Price}\times(1 - \text{Discount Rate})\).
The original price of the jacket is \( \$75\), and the discount rate is \(20\%=0.2\).
So, \(P = 75\times(1 - 0.2)\)
\(P=75\times0.8=\$60\)

Part B:

Step1: Calculate the price after an additional 10% discount

The price after the first - stage discount (20%) is \(P_1=\$60\).
The additional discount rate is \(10\% = 0.1\).
Using the formula \(P_2=P_1\times(1 - \text{Additional Discount Rate})\)
\(P_2 = 60\times(1 - 0.1)\)
\(P_2=60\times0.9=\$54\)

Question 5:

Step1: Calculate the total number of gym members

The number of members who prefer cardio: \(8 + 10=18\)
The number of members who prefer weightlifting: \(7+15 = 22\)
The total number of members \(N=18 + 22=40\)

Step2: Calculate the percentage of members who prefer weightlifting

The formula for percentage is \(\text{Percentage}=\frac{\text{Number of Weight - lifting Preferrers}}{\text{Total Number of Members}}\times100\%\)
\(\text{Percentage}=\frac{22}{40}\times100\%=0.55\times100\% = 55\%\)

Answer:

Part A: B. \(\$60.00\)
Part B: C. \(\$54.00\)
Question 5: C. \(55\%\)