Myron 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?

Option (D), predicts the interpretation of the slope and y-intercept of this equation is the correct answer.

A Linear Equation is an equation of a line. An equation in which the highest power of the variable is always 1. A linear equation is represented graphically by the line whose points give the collection of solutions of the equation.

For the given situation,

The graph shows the Myrons record of number of chips per minute to temperature in degrees.

Let x be the number of chirps per minute.

Let y be the crickets make at different temperatures in degree Fahrenheit.

The linear equation of  line that best fit is Y = 1/6x + 60.

The general form of equation is y = mx + c, where m is the slope and c is the y-intercept.

Here slope, [tex]m=\frac{1}{6}[/tex] and

y-intercept = [tex]60[/tex]

From the graph, the slope predicts a temperature 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 temperature is 50°.

Hence we can conclude that option (D), predicts the interpretation of the slope and y-intercept of this equation is the correct answer.

Learn more about linear equations here

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