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Question

An illustration shows the first quadrant of a coordinate plane titled Temperature Fahrenheit vs Ice Cream Sales.
The x-axis shows temperature in degrees Fahrenheit and ranges from 0 to 85 in increments of 5. The y-axis shows sales in dollars and ranges from 0 to 500 in increments of 50. Eight points are plotted on the graph. The points are plotted at approximate coordinates left parenthesis 0 comma 100 right parenthesis, left parenthesis 50 comma 180 right parenthesis, left parenthesis 55 comma 210 right parenthesis, left parenthesis 60 comma 230 right parenthesis, left parenthesis 65 comma 350 right parenthesis, left parenthesis 70 comma 70 right parenthesis, left parenthesis 70 comma 375 right parenthesis, and left parenthesis 80 comma 500 right parenthesis. An upward slanting line starts at left parenthesis 0 comma 40 right parenthesis and continues to left parenthesis 65 comma 325 right parenthesis.

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.

(1 point)
Responses

For every degree increase in temperature, ice cream sales increase $4.42.
For every degree increase in temperature, ice cream sales increase $4.42.

For every degree increase in temperature, ice cream sales increase $0.23.
For every degree increase in temperature, ice cream sales increase $0.23.

For every 4.42 increase in temperature, ice cream sales increase $1.
For every 4.42 increase in temperature, ice cream sales increase $1.

For every degree increase in temperature, ice cream sales increase $4.40.
For every degree increase in temperature, ice cream sales increase $4.40.
Remaining Attempts : 3
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Answer 1

To find the slope of the linear model, we use the given points (0, 38) and (65, 325).

The formula for slope (m) is:

\[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \]

Using the ordered pairs (0, 38) and (65, 325), we have:

• \( (x_1, y_1) = (0, 38) \)
• \( (x_2, y_2) = (65, 325) \)

Now substituting the values into the slope formula:

\[ m = \frac{{325 - 38}}{{65 - 0}} = \frac{{287}}{{65}} \approx 4.42 \]

So, the slope rounded to the nearest hundredth is approximately 4.42.

The y-intercept (0, 38) suggests that when the temperature is 0°F, the ice cream sales would be approximately $38.

Now, interpreting the slope:

• For every degree increase in temperature, ice cream sales increase $4.42.

Thus, the correct response is:

For every degree increase in temperature, ice cream sales increase $4.42.