Math 7 Challenge
2014-15
Due: November 21st
U2 Assignment 8
Name: __________________________________________________
Period: ________
Targets 4-5: I can use the constant of proportionality (unit rate) to represent proportional
relationships by equations in real world contexts.
1. a) Find the constant of proportionalilty for the data given in the table.
b) Graph the data given in the table and label each
ordered pair. Make sure you label your axes.
c) Plot and label the point whose ordered pair
represents the constant of proportionality.
d) What are the coordinates of that point?
e) Explain what the point that you plotted means in the
context of this problem.
b) What is the unit rate?
c) Plot and label the point whose ordered pair represents
the unit rate.
.
d) What are the coordinates of that point?
e) Explain what the point that you plotted means in this
context of this problem.
f) Write an equation for this graph.
Length of stretch (in mm)
2. The length of the stretch (in millimeters) of a spring is
proportional to the weight (in grams) attached to the end
of the spring as shown in the graph.
a) Label the points given (give the ordered pair).
Weight (g)
3. The number of students on a school trip is proportional to the number of teachers and has an
equation of 𝑠 = 25𝑡 where 𝑠 represents the number of students on the trip and 𝑡 represents the
number of teachers on the trip.
a) What is the constant of proportionality?
b) What does is mean in this situation?
4. The perimeter, 𝑃, of a square is proportional to the length of one side, 𝑠, according to the equation
𝑃 = 4𝑠.
a) Make a table of values for this relationship.
b) Graph your data set and label.
c) Circle the unit rate in your table.
d) Indicate the constant of proportionality on your graph.
5. Explain your answer for 5 and 6.
6.