contestada

For some linear relationships, doubling the independent variable results in doubling the function value. For example, doubling the number of steps in a staircase doubles the height of the staircase. Does this doubling property hold for every linear relationship?

Respuesta :

Using linear function concepts, it is found that this doubling property does not hold for every linear relationship.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

One example of function is:

y = 4x + 3.

When x = 1:

y = 4 + 3 = 7.

When x = 2:

y = 8 + 3 = 11.

The input did not double, meaning that this doubling property does not hold for every linear relationship, it doubles only for a linear function with a slope of 2 and intercept of 0.

More can be learned about linear function concepts at https://brainly.com/question/24808124

#SPJ1

Otras preguntas