Q:

According to Dolbear’s law, you can predict the temperature T (in degrees Fahrenheit) by counting the number x of chirps made by a snowy tree cricket in 1 minute. For each rise in temperature of 0.25°F, the cricket makes an additional chirp each minute. a. A cricket chirps 40 times in 1 minute when the temperature is 50°F. Write an equation in slope-intercept form that represents the temperature in terms of the number of chirps in 1 minute.

Accepted Solution

A:
The general form of the equation of the line or the linear equation is as shown below,
     y = mx + b
where y is the dependent variable, x is the independent variable, m is the slope and b is the intercept. From the given, we can make an ordered pairs:
  (50, 40) and (50.25, 41)

Making the equation, 
     y - y₁ = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)

Substituting, 
    y - 40 = ((41 - 40)/(50.25 - 50))(x - 50)

Simplifying,
    y - 40 = ((1/0.25)(x - 50)
   y - 40 = 4x - 200
    y = 4x - 160

ANSWER: y = 4x - 160 
  where x is the temperature and y is the number of chirps.