Question

problem solving real world

1. in pe class, carl runs a distance of 1.17 miles in 9 minutes. at that rate, how far does carl run in one minute?
2. marianne spends $9.45 on 5 greeting cards. each card costs the same amount. what is the cost of one greeting card?

Explanation:

Problem 9

Step1: Identify the rate formula

To find the distance run per minute, we use the formula for rate: \( \text{Rate} = \frac{\text{Distance}}{\text{Time}} \). Here, the distance is \( 1.17 \) miles and the time is \( 9 \) minutes.

Step2: Calculate the rate

Substitute the values into the formula: \( \text{Rate} = \frac{1.17}{9} \). Performing the division, \( 1.17 \div 9 = 0.13 \).

Step1: Identify the unit cost formula

To find the cost of one greeting card, we use the formula for unit cost: \( \text{Unit Cost} = \frac{\text{Total Cost}}{\text{Number of Items}} \). Here, the total cost is \( \$9.45 \) and the number of items (greeting cards) is \( 5 \).

Step2: Calculate the unit cost

Substitute the values into the formula: \( \text{Unit Cost} = \frac{9.45}{5} \). Performing the division, \( 9.45 \div 5 = 1.89 \).

Answer:

0.13 miles

Problem 10