Question

Constant of proportionality and unit rate quiz

Answer 1

Here is a quiz to test your knowledge of constant of proportionality and unit rate. Good luck!

Question 1: What is the definition of constant of proportionality?
a) The ratio of two quantities that are always equal
b) The rate at which two quantities change relative to each other
c) The value of the y-intercept in a proportional relationship

Question 2: Which of the following equations represents a proportional relationship?
a) y = 2x + 3
b) y = 4x
c) y = x^2

Question 3: What is the constant of proportionality in the equation y = 4x?
a) 2
b) 4
c) 8

Question 4: What does the unit rate represent?
a) The constant of proportionality
b) The rate at which two quantities change relative to each other
c) The rate of change of one quantity with respect to another

Question 5: If Sam travels 240 miles in 4 hours, what is the unit rate of his travel in miles per hour?
a) 60 miles per hour
b) 120 miles per hour
c) 480 miles per hour

Question 6: Which of the following equations represents a proportional relationship with a constant of proportionality of 0.5?
a) y = 2x + 3
b) y = 0.5x
c) y = x^2

Question 7: If a car travels 350 miles in 7 hours, what is the unit rate of its travel in miles per hour?
a) 35 miles per hour
b) 70 miles per hour
c) 50 miles per hour

Question 8: Which of the following equations represents a proportional relationship with a constant of proportionality of 5?
a) y = 2x + 3
b) y = 5x
c) y = x^2

Question 9: If Jenny can paint 3 walls in 5 hours, what is the unit rate of her painting in walls per hour?
a) 0.5 walls per hour
b) 1 wall per hour
c) 15 walls per hour

Question 10: Which of the following equations represents a proportional relationship with a constant of proportionality of 2?
a) y = 2x + 3
b) y = 2x
c) y = x^2

Answers:
1) b) The rate at which two quantities change relative to each other
2) b) y = 4x
3) b) 4
4) c) The rate of change of one quantity with respect to another
5) a) 60 miles per hour
6) b) y = 0.5x
7) b) 70 miles per hour
8) b) y = 5x
9) b) 1 wall per hour
10) b) y = 2x