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Bailey starts playing a game on her cell phone with the battery fully charged and plays until the phone battery dies. While playing the game the charge in Bailey's battery decreases by half a percent per minute. Write a function for the percent change in the battery while Bailey is playing the gane

Respuesta :

The linear function for the percent change in the battery while Bailey is playing the gane is:

B(t) = 100 - 0.5t, 0 ≤ t ≤ 200.

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.

For this problem, we have that:

  • The intercept is the initial battery, of 100.
  • The slope is of -0.5, as the battery decays by 0.5% each minute.

Hence the function is:

B(t) = 100 - 0.5t.

The battery will be of 0, when:

B(t) = 0.

100 - 0.5t = 0.

t = 100/0.5.

t = 200.

Hence the function is:

B(t) = 100 - 0.5t, 0 ≤ t ≤ 200.

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

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