A drawn line of best fit models the trend in a scatterplot, even when individual dots sit off it. To find a predicted increase, read two clear points on the line, use them to find the temperature change per minute, then multiply by the number of minutes in the question. A dot gives a measured temperature, not necessarily the line’s prediction.
Hints
- Hint 1
A line of best fit shows the overall trend, while each dot shows one measurement. Because the question says based on the line, find two places where the solid line’s coordinates are clear to read.
- Hint 2
The slope is the change in temperature divided by the change in time. It tells you the predicted rise per minute. How can you use that rate for the interval from to ?
Step-by-step
Find the line’s rate, then use the time interval
Step 1Read two points on the fitted line
At , the solid line is near degrees Celsius; at , it’s near degrees Celsius. So use and . Read the fitted line, not the dots: the dots are measured temperatures, but the question asks for the model’s change.
- Step 2
Find the predicted rise per minute
The slope is temperature change divided by time change. Keep the two points in the same order: type in Desmos. It shows , so the fitted line predicts a rise of degrees Celsius per minute.
- Step 3
Apply the rate to the requested interval
The time changes from to minutes, so multiply the per-minute rise by : type beneath the slope in Desmos. It shows . The fitted line predicts that the soup temperature increases by approximately degrees Celsius. Choice B.