Question

Abe starts working out at a gym and begins to lose weight. His weight can be calculated using the equation y = 250 − 3x where y is his current weight and x is the number of weeks he has been working out. Which statement best describes Abe's weight loss?

Answer 1

The number of weeks Abe has been working out is the independent variable in the equation.

Explanation:

Since Abe's weight is given by the equation

y = 250 − 3x

Every increase or decrease in the value of x in the equation will invariably lead to a change in the value of y.

If for instance Abe works out 5 weeks, her weight would be:

y= 250- 3*5

y=250-15

y=235

If she works out 3 weeks, her weight would be

y=250-3*3

y=250-9

y=241

Hence y weight is dependent variable while x weeks worked out is the independent variable in the equation