1. Julie can run at a rate of 7 miles per hour. After two hours Julie has run 14 miles.
a) Create and complete a t-table and identify/label the variable(x) and total amount/distance (y) for your given scenario. Make sure you have zero as one of your x-values.
b) Draw an x/y axis making sure to label each axis & title the graph
c) Plot the points from the t-table above and create a line connecting all of the points.
d) Create a rule based on your findings and explain your rule in words.
2. A pumpkin has an initial size of 5cm when it was first recorded. The next month the pumpkin grew at a rate of 10cm per month.
a) Create and complete a t-table and identify/label the variable(x) and total amount/distance (y) for your given scenario. Make sure you have zero as one of your x-values.
b) Draw an x/y axis making sure to label each axis & title the graph
c) Plot the points from the t-table above and create a line connecting all of the points.
d) Create a rule based on your findings and explain your rule in words.
3. Sophia is saving up to buy a bike. She already has $50 in her bank account, and every week she earns $10 per month. By the end of three weeks she had $80.
a) Create and complete a t-table and identify/label the variable(x) and total amount/distance (y) for your given scenario. Make sure you have zero as one of your x-values.
b) Draw an x/y axis making sure to label each axis & title the graph
c) Plot the points from the t-table above and create a line connecting all of the points.
d) Create a rule based on your findings and explain your rule in words.
4. Amelia is digging a hole in the backyard to make a pool. She starts digging the hole is able to dig a hole at a rate of 9 yards per week.
a) Create and complete a t-table and identify/label the variable(x) and total amount/distance (y) for your given scenario. Make sure you have zero as one of your x-values.
b) Draw an x/y axis making sure to label each axis & title the graph
c) Plot the points from the t-table above and create a line connecting all of the points.
d) Create a rule based on your findings and explain your rule in words.
Congratulations! You have successfully completed your first Speed Graphing Date! What's next?!? Be the first successfully complete all questions below correctly with your team to earn a badge! Hint: You may want each teammate to answer the questions below for one of the problems, then pass it to each teammate to initial after they have proof read each one. There should be a signature for each of your teammates.
Debrief Questions:
What does the x axis represent for each question?
What does the y axis represent for each question?
What does the point that lies on the y-axis represent?
What is the rate of change for your line? Explain your reasoning.
What does the rate of change represent?
How do your points change as you go from one point to another? Is your sentence true for all points?