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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Respuesta :

A linear equation is an equation in which each term has at max one degree. The function that represents Lucas’s situation is y=200-2x.

What is a linear equation?

A linear equation is an equation in which each term has at max one degree.

Linear equation in variable x and y can be written in the form y = mx + c.

Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.

Given Lucas weighs 200 pounds. He starts a weight-loss program that helps him lose 2 pounds per week. Therefore, the rate at which Lucas is losing weight is 2 pounds per week.

Since the event is linear, therefore, the weight of Lucas after x weeks can be written as,

y = 200 - 2x

A.) The independent quantity is x, which is the number of weeks, and the dependent quantity is y, which is the weight of Lucas after x weeks.

B.) The function that represents Lucas’s situation is y=200-2x.

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