Question

Daniel weighed 143 1/2 pounds. He gained 1/4 pounds during the first week, 1/2 pound during the second week, 3/10 pounds during the third week, but lost 2/5 pounds during the fourth week. What was the average weekly change in his weight?

A) 0.06 pounds
B) 0.12 pounds
C) 0.23 pounds
D) 0.50 pounds

Answer 1

To find the average weekly change in Daniel's weight, add up his weight changes over four weeks and then divide by the number of weeks.

Step-by-step explanation:

To find the average weekly change in Daniel's weight, we need to calculate the total change in his weight over the four weeks and then divide it by the number of weeks. Let's calculate:

Week 1: gained 1/4 pound

Week 2: gained 1/2 pound

Week 3: gained 3/10 pound

Week 4: lost 2/5 pounds

Total change = 1/4 + 1/2 + 3/10 - 2/5

Convert all fractions to a common denominator: 5/20 + 10/20 + 6/20 - 8/20 = 13/20

Average weekly change = 13/20 ÷ 4 = 13/80

Simplifying the fraction: 13/80 = 0.1625 pounds

Therefore, the average weekly change in Daniel's weight is approximately 0.16 pounds.