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Answer :
Answer:
Step-by-step explanation:
Jalen lost 12 pounds in the first 3 weeks
12/3=4 per week
than the weight loss slowed by half, meaning he lost 6 pounds in 3 weeks
6/3=2 per week
84-12=72 to loose after 3 weeks
72/2=36 weeks
to loose 84 pounds you need 3+36=39 weeks
for 100 lbs
100-12=88
88/2=44
44+12=56 weeks
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Final answer:
Given that Jalen lost 12 pounds in the first 3 weeks and then his weight loss rate slowed by half, it took a total of 39 weeks for Jalen to lose 84 pounds.
Explanation:
This question is about calculating weight loss over time, given a reduced rate of loss after the initial 3 weeks. First, let's determine how much weight Jalen lost after the first 3 weeks. Since his weight loss rate halved, he lost 12 pounds per 3 weeks for the first 3 weeks, then 6 pounds per 3 weeks after. The remaining weight that Jalen lost after the first three weeks is 84-12 = 72 pounds. At a loss rate of 6 pounds per 3 weeks, this would take (72/6)*3 = 36 weeks. Including the initial 3 weeks, it took Jalen a total of 36 + 3 = 39 weeks to lose 84 pounds.To solve this problem, we can set up an equation based on the information given. Let's assume that Jalen's weight loss rate in the first 3 weeks was x pounds per week. Therefore, his weight loss rate after the first 3 weeks would be x/2 pounds per week. We can now set up the equation: 12 + 3x/2 + (84 - 12 - 3x/2) = 84. Solving this equation will give us the value of x, which represents Jalen's weight loss rate in the first 3 weeks. Once we have that, we can find the number of weeks it took him by dividing 84 by his weight loss rate per week.
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