For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. The information below shows Steven's running time and distance each day.

Monday Tuesday Wednesday Thursday Friday

5 miles 7 miles 4 miles 8 miles 10miles

45 minutes 56 minutes 32 minutes 68 minutes 95 minutes

Part A: What is the rate of miles to minutes for each day?

Part B: On what two days did Steven run at the same rate? Show all work.

Part C: On his next run, Steven wants to run at the same rate he did on Monday but for a greater amount of time. What could be a possible distance and time that Steven could run to meet his goal? Show all work.

9514 1404 393

  A: M: 1/9; Tu: 1/8; W: 1/8; Th: 2/17; F: 2/19

  B: Tuesday and Wednesday

  C: 6 miles in 54 minutes

Step-by-step explanation:

Part A:

The ratio of miles to minutes is found by dividing miles by minutes. Here, we reduce that ratio to lowest terms.

  Monday: (5 mi)/(45 min) = 1/9 mi/min

  Tuesday: (7 mi)/(56 min) = 1/8 mi/min

  Wednesday: (4 mi)/(32 min) = 1/8 mi/min

  Thursday: (8 mi)/(68 min) = 2/17 mi/min

  Friday: (10 mi)/(95 min) = 2/19 mi/min

__

Part B:

The rates are the same (1/8 mi/min) on Tuesday and Wednesday.

__

Part C:

If Steven runs at the same rate for more time, he runs farther. A convenient distance farther than 5 miles is 6 miles. It took him 9 minutes to run 1 mile on Monday, so that rate for 6 miles will require 6×9 = 54 minutes. One possible distance and time is ...

  6 miles in 54 minutes

d

step-by-step explanation:

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