Question

question 3: the table below shows the price at which customers can buy cds at a bulk rate. store | offer cd palace | 5 for $75 cds to go | 4 for $60 music mall | 3 for $40 music shoppe | 6 for $75 which store offers the best buy? a cd palace b cds to go c music mall d music shoppe question 4: a bus traveled 150 miles in 3 hours. at what average rate did the bus travel? a 50 miles per hour b 75 miles per hour c 150 miles per hour d 450 miles per hour question 5: james and alex recorded the hours they worked and the amount of money they earned in the tables below. james hours worked | money earned 2 | $26 4 | $52 6 | $78 alex hours worked | money earned 3 | $36 6 | $72 9 | $108 which statement is true? a james earned $13 per hour, and alex earned $12 per hour. b james earned $12 per hour, and alex earned $13 per hour. c they both earned the same amount of money per hour.

Explanation:

Question 3:

Step1: Calculate unit price for each store

• CD Palace: Unit price = \( \frac{75}{5} = 15 \) dollars per CD.
• CDs to Go: Unit price = \( \frac{60}{4} = 15 \) dollars per CD.
• Music Mall: Unit price = \( \frac{40}{3} \approx 13.33 \) dollars per CD.
• Music Shoppe: Unit price = \( \frac{75}{6} = 12.5 \) dollars per CD.

Step2: Compare unit prices

Music Shoppe has the lowest unit price (\( 12.5 \) dollars per CD), so it offers the best buy.

Step1: Recall the formula for average rate

Average rate = \( \frac{\text{Distance}}{\text{Time}} \)

Step2: Substitute values

Distance = 150 miles, Time = 3 hours. So, average rate = \( \frac{150}{3} = 50 \) miles per hour.

Step1: Calculate James' hourly rate

Using James' data: For 2 hours, earned $26. Hourly rate = \( \frac{26}{2} = 13 \) dollars per hour. (We can check with other rows: \( \frac{52}{4} = 13 \), \( \frac{78}{6} = 13 \), consistent.)

Step2: Calculate Alex's hourly rate

Using Alex's data: For 3 hours, earned $36. Hourly rate = \( \frac{36}{3} = 12 \) dollars per hour. (Check with other rows: \( \frac{72}{6} = 12 \), \( \frac{108}{9} = 12 \), consistent.)

Step3: Compare rates

James earns $13 per hour, Alex earns $12 per hour.

Answer:

D. Music Shoppe

Question 4: