Poportional relationship
Graphs
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What information do you need to know to write an equation relating two quantities that have a proportional relationship?

You need proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

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5.


To make a friendship bracelet, some long strings are lined up; then, one string is tied in a knot with each of the other strings to create a row of knots. A new string is chosen and knotted with the all the other strings to create a second row. This process is repeated until there are enough rows to make a bracelet to fit around your friend's wrist.


Are the number of knots proportional to the number of rows?


Yes. They are poportional.

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streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. The point (6,67.94) is shown on the graph below.


What is the constant of proportionality in this relationship?


7.99

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There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. The point (6,67.94) is shown on the graph below.


Write an equation that represents the relationship between , the total cost of the subscription, C and m, the number of months. (answer in C = form)




c=7.99xm

1000

Noah and Diego left the amusement park’s ticket booth at the same time. Each moved at a constant speed toward his favorite ride. After 8 seconds, Noah was 17 meters from the ticket booth, and Diego was 43 meters away from the ticket booth.


Which graph represents the distance traveled by Noah, and which graph represents the distance traveled by Diego?


Black is Noah and blue is Diego