Question
Isaac and Sakura are both doing a science experiment where they are measuring the temperature of a liquid over time. Graphs that represent each of their data are shown below.
Isaac's Experiment
Sakura's Experiment
Item 7
Item 8
Item 9
Item 10
Item 11
Item 12
Item 13
Item 14
1007
a
Temperature (degrees Fahrenheit)
Temperature (degrees Fahrenheit)
Time (minutes)
Time (minutes)
<
(2 points)
The slope of the graph that represents Isaac's data is
The slope of the graph that represents Sakura's data is
Isaac's Experiment
Sakura's Experiment
Item 7
Item 8
Item 9
Item 10
Item 11
Item 12
Item 13
Item 14
1007
a
Temperature (degrees Fahrenheit)
Temperature (degrees Fahrenheit)
Time (minutes)
Time (minutes)
<
(2 points)
The slope of the graph that represents Isaac's data is
The slope of the graph that represents Sakura's data is
Answers
GPT-4o mini
To determine the slopes of the graphs representing Isaac's and Sakura's data, we need to analyze the graphs of their temperature measurements over time.
The slope of a line on a graph represents the change in temperature (the vertical axis) over the change in time (the horizontal axis). Mathematically, the slope (m) can be calculated using the formula:
\[ m = \frac{\Delta y}{\Delta x} \]
where:
- \(\Delta y\) represents the change in temperature (the difference in temperature values),
- \(\Delta x\) represents the change in time (the difference in time values).
1. **Isaac's Experiment:**
- Find two points on Isaac's line. Let's assume the points are (t1, T1) and (t2, T2).
- Calculate the slope using the points gathered.
2. **Sakura's Experiment:**
- Similarly, identify two points on Sakura's graph. Use the coordinates (t3, T3) and (t4, T4).
- Calculate the slope for her graph.
Without the actual graphs, I cannot provide specific numerical slopes, but you would apply the above formula to find the steepness or rate at which temperature changes with respect to time for both experiments.
If you provide the specific points or further details from the graphs, I can help you calculate the exact slopes!
The slope of a line on a graph represents the change in temperature (the vertical axis) over the change in time (the horizontal axis). Mathematically, the slope (m) can be calculated using the formula:
\[ m = \frac{\Delta y}{\Delta x} \]
where:
- \(\Delta y\) represents the change in temperature (the difference in temperature values),
- \(\Delta x\) represents the change in time (the difference in time values).
1. **Isaac's Experiment:**
- Find two points on Isaac's line. Let's assume the points are (t1, T1) and (t2, T2).
- Calculate the slope using the points gathered.
2. **Sakura's Experiment:**
- Similarly, identify two points on Sakura's graph. Use the coordinates (t3, T3) and (t4, T4).
- Calculate the slope for her graph.
Without the actual graphs, I cannot provide specific numerical slopes, but you would apply the above formula to find the steepness or rate at which temperature changes with respect to time for both experiments.
If you provide the specific points or further details from the graphs, I can help you calculate the exact slopes!