IM 6.6.17 Lesson: Two Related Quantities, Part 2
Lin and Jada each walk at a steady rate from school to the library. Lin can walk 13 miles in 5 hours, and Jada can walk 25 miles in 10 hours. They each leave school at 3:00 and walk [math]3\frac{1}{4}[/math] miles to the library. What time do they each arrive?
Diego, Elena, and Andre participated in a walk-a-thon to raise money for cancer research. They each walked at a constant rate, but their rates were different. Complete the table to show how far each participant walked during the walk-a-thon.
How fast was each participant walking in miles per hour?
How long did it take each participant to walk one mile?
Graph the progress of each person in the coordinate plane. Use a different color for each participant.
[size=150]Diego says that [math]d=3t[/math] represents his walk, where [math]d[/math] is the distance walked in miles and [math]t[/math] is the time in hours.[br][br][size=100]Explain why [math]d=3t[/math] relates the distance Diego walked to the time it took.[/size][/size]
Write two equations that relate distance and time: one for Elena and one for Andre.
Use the equations you wrote to predict how far each participant would walk, at their same rate, in 8 hours.
For Diego’s equation and the equations you wrote, which is the dependent variable and which is the independent variable?
[size=150]Two trains are traveling toward each other, on parallel tracks. Train A is moving at a constant speed of 70 miles per hour. Train B is moving at a constant speed of 50 miles per hour. The trains are initially 320 miles apart. How long will it take them to meet? [/size]
One way to start thinking about this problem is to make a table. Add as many rows as you like.
How long will it take them to meet?
How long will it take a train traveling at 120 miles per hour to go 320 miles?
Explain the connection between these two problems.
IM 6.6.17 Practice: Two Related Quantities, Part 2
A car is traveling down a road at a constant speed of 50 miles per hour. Complete the table with the amounts of time it takes the car to travel certain distances, or the distances traveled for certain amounts of time.
Write an equation that represents the distance traveled by the car, [math]d[/math], for an amount of time, [math]t[/math].
In your equation, which is the dependent variable and which is the independent variable?[br]
The graph represents the amount of time in hours it takes a ship to travel various distances in miles.
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[/img][br][br]Write the coordinates of one of point on the graph. What does the point represent?
What is the speed of the ship in miles per hour?
Write an equation that relates the time, [math]t[/math], it takes to travel a given distance, [math]d[/math].
Find a solution (on the right) to each equation (on the left) in the list that follows (not all numbers will be used):
[size=150]Select [b]all[/b] the expressions that are equivalent to [math]5x+30x-15x[/math][/size].
[size=200][size=150]Evaluate each expression if [math]x[/math] is 1, [math]y[/math] is 2, and [math]z[/math] is 3.[/size][/size][br][br][math]7x^2-z[/math]
[math](x+4)^3-y[/math]
[math]y(x+3^3)[/math]
[math](7-y+z)^2[/math]
[math]0.241x+x^3[/math]