Question

Biologists have found that the number of chirps some crickets make per minute is related to temperature. The relationship is very close to being linear. When crickets chirp 124 times a minute, it is about 68 degrees Fahrenheit. When they chirp 172 times a minute, it is about 80 degrees Fahrenheit.

Identify the variables in this situation:
x= chirps
y= temperature(degrees Fahrenheit)

What is the given information in this problem (find all that apply)?
y-intercept= ________
slope=
point =


Write an equation to model the situation.

Answer 1

points (x, y) = {(124, 68), (172, 80)}

y = 1/4x +37

Explanation:

For the variable definitions given, the problem statement gives you the points ...

(chirps, temperature) = (x, y) = (124, 68) or (172, 80)

__

You are asked to find a linear equation that relates x and y.

The slope can be found using the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (80 -68)/(172 -124) = 12/48 = 1/4

The y-intercept can be found from ...

b = y -mx

b = 68 -(1/4)(124) = 37

Then the equation that models the relationship can be written ...

y = 1/4x +37