Market data are gathered for ice cream sales based on the temperature in Fahrenheit. Interpret the slope and y intercept (0,38) of the linear model, using the ordered pair (65,325). Round the slope to the nearest hundredth
The slope of the linear model can be calculated using the formula:
slope = (change in y) / (change in x)
Using the ordered pair (65,325) as one point on the line, and the y-intercept (0,38) as the other, we can calculate the slope as:
slope = (325 - 38) / (65 - 0) = 287 / 65 = 4.41
Therefore, the slope of the linear model is approximately 4.41.
Interpreting the slope:
For each increase of 1 degree Fahrenheit in temperature, ice cream sales are expected to increase by approximately 4.41 units.
The y-intercept of the linear model is at (0,38), indicating that when the temperature is 0 degrees Fahrenheit, there are 38 units of ice cream sales.
Overall, the linear model suggests that ice cream sales increase as the temperature rises, with a predicted starting point of 38 units of sales at 0 degrees Fahrenheit.