Question

Lucas weighs 200 pounds. He starts a weight-loss program that helps him lose 2 pounds per week. What function represents Lucas’s weight in pounds in terms of the number of weeks since he started the weight-loss program?
The independent quantity is , and the dependent quantity is .

The function that represents Lucas’s situation is .

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Answer 1

The independent quantity is the number of weeks in x
The dependent quantity is the weight in y
The function is y=-2x+200
Hope this helps!

Answer 2

Answer:

y = -2x + 200

Here  x represents the independent quantity which is the number of weeks, and the y represents dependent quantity which is weight of Lucas.

Step-by-step explanation:

Given: Lucas weighs 200 pounds. He starts a weight-loss program that helps him lose 2 pounds per week.

Let's take "x" be the number of weeks and "y" be the Lucas's weight.

Lucas initial weight = 200 pounds and the program helps him to lose 2 pounds per week.

Therefore, here -2 represents the slope.

y = -2x + 200

Here  x represents the independent quantity which is the number of weeks, and the y represents dependent quantity which is weight of Lucas.

For instance, Lucas spends 2 weeks in weight loss program. So x =2

Now you can plug in x =2 and find the weight of Lucas after two weeks.

y = -2(2) + 200

y = -4 + 200

y = 196 pounds

After 2 weeks Lucas's weight will be 196 pounds.