Ronnie records the number of chirps per minute (x) that crickets make at different temperatures(Y ) in degree Fahrenheit. he determines that the association is linear and that the line of best fit is Y=1/6x+60.what is the interpretation of the slope and y intercept of this question?

Respuesta :

Answer:

Step-by-step explanation:

Given

[tex]y = \frac{1}{6}x + 60[/tex]

Required

Interpret the slope and y intercept

The general form of an equation is:

[tex]y = mx + b[/tex]

Where

[tex]m=slope[/tex]

[tex]b = y\ intercept[/tex]

By comparison

[tex]m = \frac{1}{6}[/tex]

[tex]b = 60[/tex]

Interpretation:

Slope represents rate and y intercept represents the number of chirps at time 0.

So, the interpretations are:

Slope: The cricket chirps at a rate of [tex]\frac{1}{6}[/tex] chirps per minute

y intercept: The initial number of chirps is 60

Answer: the slope predicts a temp increase of about 1/6° for every increase of 1 chirp per minute. the y-intercept shows that when crickets are not chirping (x=0), the temp is 60°