Question

PLEASE HELP!! Madison is monitoring the temperature over several hours. Her data is shown in the table. She draws a best-fit line with the equation y= -6.2+64 where x represents the number of hours that have passed and y represents the temperature.

Describe the meaning of the slope and the y-intercept in this context. Answer in complete sentences.

Answer 1

Using linear function concepts, we have that the interpretations are given as follows:

• The slope of -6.2 means that the temperature falls 6.2 ºF every hour.

• The y-intercept of 64 means that the initial temperature was of 64 ºF.

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.

In this problem, we have that the function is given by:

y = -6.2x + 64.

Hence:

• The slope of -6.2 means that the temperature falls 6.2 ºF every hour.

• The y-intercept of 64 means that the initial temperature was of 64 ºF.

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

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