Question

A linear function f models a relationship in which the dependent variable decreases 4 units for every 2 units the independent variable increases. The value of the function at 0 is -2. What is the value of the function when the independent variable increases by 6 units?

1) -5
2) -8
3) -11
4) -14

Answer 1

The value of the function when the independent variable increases by 6 units is -26.

Step-by-step explanation:

A linear function with a slope of -4 units for every 2 units increase in the independent variable and a y-intercept of -2 can be written in the form y = mx + b, where m is the slope and b is the y-intercept. Therefore, the equation for this linear function is y = -2 - 4x.

To find the value of the function when the independent variable increases by 6 units, we substitute x = 6 into the equation:

y = -2 - 4(6)

y = -2 - 24

y = -26

So, the value of the function when the independent variable increases by 6 units is -26.