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A student believes there is a correlation between the number of texts sent during class and GPA. The student collected data and found that the line of fit can be modeled by the equation ŷ = 3.6 − 0.3x.

Identify and interpret the slope in this scenario.

The slope is −0.3. Starting at 3.6, the GPA will increase by 0.3 for every text sent in class.
The slope is −0.3. Starting at 3.6, the GPA will decrease by 0.3 for every text sent in class.
The slope is 3.6. Starting at 0.3, the GPA will increase by 3.6 for every text sent in class.
The slope is 3.6. Starting at 0.3, the GP will decrease by 3.6 for every text sent in class.

Respuesta :

Using linear function concepts, the correct option is given by:

The slope is −0.3. Starting at 3.6, the GPA will decrease by 0.3 for every text sent in class.

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, the function is:

y = 3.6 - 0.3x.

The function has a initial GPA of 3.6(student who sends 0 texts), then for each text the student sends, the GPA falls by 0.3(slope of -0.3), hence the correct option is:

The slope is −0.3. Starting at 3.6, the GPA will decrease by 0.3 for every text sent in class.

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

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Answer: the person above me is right !

Step-by-step explanation: I did the test and got that question right.

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