Question
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
For every degree increase in temperature, ice cream sales increase $4.42, For every degree increase in temperature, ice cream sales increase $4.40, for every 4.42 increase in temperature, ice cream sales increase $1.00
For every degree increase in temperature, ice cream sales increase $4.42, For every degree increase in temperature, ice cream sales increase $4.40, for every 4.42 increase in temperature, ice cream sales increase $1.00
Answers
Answered by
GPT-4o mini
To interpret the slope and y-intercept of the linear model using the information you provided, we need to clarify a couple of things first.
From your description:
- The ordered pair (65, 325) represents a point on the linear model: when the temperature is 65°F, ice cream sales are 325 units (or dollars, depending on the context—let's assume here it's units sold).
- The y-intercept (0, 38) indicates that when the temperature is 0°F, the ice cream sales would be 38 units.
Let's discuss the slope:
The slope (m) represents the change in ice cream sales for each degree increase in temperature. If we round the slope to two decimal places, we see that:
- You have provided the slope options as "For every degree increase in temperature, ice cream sales increase $4.42," and "For every degree increase in temperature, ice cream sales increase $4.40."
Since we need to round the slope to the nearest hundredth, let's assume you calculated the slope simply using two points and an average.
If we make a rough assumption here and consider the slope to be approximately \(4.42\), then:
- This means for every 1°F increase in temperature, ice cream sales increase approximately **$4.42** (or by 4.42 units sold).
Now considering the y-intercept (0, 38):
- The y-intercept suggests that at 0°F, the model predicts there would be sales of 38 units (or dollars). This could imply some baseline sales level, possibly due to factors unrelated to temperature.
In summary:
- The slope of **$4.42** per degree suggests a positive relation: as temperature increases, ice cream sales rise by about **$4.42** for each degree.
- The y-intercept of **38** indicates that even at 0°F, sales are predicted to be around **38 units/dollars**, which might be attributed to fixed sales or demand not directly related to the temperature.
Please clarify if you have a specific slope value or other details you'd like analyzed further!
From your description:
- The ordered pair (65, 325) represents a point on the linear model: when the temperature is 65°F, ice cream sales are 325 units (or dollars, depending on the context—let's assume here it's units sold).
- The y-intercept (0, 38) indicates that when the temperature is 0°F, the ice cream sales would be 38 units.
Let's discuss the slope:
The slope (m) represents the change in ice cream sales for each degree increase in temperature. If we round the slope to two decimal places, we see that:
- You have provided the slope options as "For every degree increase in temperature, ice cream sales increase $4.42," and "For every degree increase in temperature, ice cream sales increase $4.40."
Since we need to round the slope to the nearest hundredth, let's assume you calculated the slope simply using two points and an average.
If we make a rough assumption here and consider the slope to be approximately \(4.42\), then:
- This means for every 1°F increase in temperature, ice cream sales increase approximately **$4.42** (or by 4.42 units sold).
Now considering the y-intercept (0, 38):
- The y-intercept suggests that at 0°F, the model predicts there would be sales of 38 units (or dollars). This could imply some baseline sales level, possibly due to factors unrelated to temperature.
In summary:
- The slope of **$4.42** per degree suggests a positive relation: as temperature increases, ice cream sales rise by about **$4.42** for each degree.
- The y-intercept of **38** indicates that even at 0°F, sales are predicted to be around **38 units/dollars**, which might be attributed to fixed sales or demand not directly related to the temperature.
Please clarify if you have a specific slope value or other details you'd like analyzed further!