Question

Omar is on a diet to lose some weight. He is losing weight at a rate of 2 pounds per week. After 6 weeks, his weight is 204 pounds. Linear equation and how many weeks it will take Omar to reach his target weight of 189 pounds.

Answer 1

Our basis would be 204 pounds. His original weight, 6 week ago, must be

204 + 2(6) = 216 pounds

But, we have to find the number of weeks having known the present weight (204 pounds) and the target weight (189). The linear equation would be

$Target \ weight = \ Present \ weight \ -2(number \ of \ weeks)$

189 = 204 - 2(number of weeks)
Number of weeks = (204-189)/2
Number of weeks = 7.5

The total number of weeks would then be 6 weeks + 7.5 weeks. It would take Omar 13 and a half weeks since he started his diet to reach his target weight.