Graphing Real World Applications
Explore real-world scenarios through graphing, including linear relationships, distance-time graphs, and interpreting data.
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Graphing Real World Applications
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. A car travels at a constant speed of 60 miles per hour. Complete the table and then plot the points on the graph below. What does the slope of the graph represent?
Time (hours) | Distance (miles) ---|--- 0 | 0 1 | 2 | 3 | 4 |
2. The graph below shows the temperature of a cup of coffee over time. What is the most likely reason for the sharp drop in temperature between 10 and 20 minutes?
The coffee was stirred.
Ice was added to the coffee.
The cup was placed in a warmer.
The coffee reached room temperature.
3. The equation y = 2x + 5 represents the cost of a taxi ride where y is the total cost and x is the number of miles. If a ride is 10 miles long, the cost will be $ . The y-intercept represents the fee.
Match the graph characteristic with its description.
1. Slope
a. The point where the graph crosses the y-axis.
2. Y-intercept
b. The steepness or rate of change of a line.
3. X-intercept
c. The point where the graph crosses the x-axis.
4. A horizontal line on a distance-time graph indicates that an object is moving at a constant speed.
True
False
5. Sarah is saving money for a new bicycle. She starts with $50 and saves $10 each week. Write an equation that represents the total amount of money Sarah has (y) after x weeks. Then, graph the relationship for the first 5 weeks.