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 poun
1 answer:
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
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.
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
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.
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Answer:
The constant of proportionality is option D i.e 5.
Step-by-step explanation:
Variation:
Variation problems involve fairly simple relationships or formulas, involving one variable being equal to one term. There are two types of variation i.e.
- Direct variation
- Inverse variation
Direct Variation:
Mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
Example
where, k is constant of proportionality.
The above given example is of Direct Variation
∴ y = 5 x
∴ k = 5 = constant of proportionality.
Inverse Variation:
Mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.
Example
where, k is constant of proportionality.