321,581 views
24 votes
24 votes
1. How can you tell by looking at each graph that a proportional relationship exists between the quantities? 2. Find the constant of proportionality for each graph. Write your answer as y = kx.

User Jayanth Koushik
by
2.5k points

2 Answers

25 votes
25 votes


\: \: \: \: \:

1. How can you tell by looking at each graph that a proportional relationship exists between the quantities?

  • relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

2. Find the constant of proportionality for each graph. Write your answer as y = kx.

  • y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.

hope it helps

User Gajo
by
3.7k points
14 votes
14 votes

Answer:

Graph 1. y = 5kx

Graph 2. y = 9kx

Graph 3. y = 2kx

Graph 4. y = 3kx

Explanation:

To find the constant proportionality of each graph, first you need to search for any dot on the straight line. Then, the number on the Y and X axis of that dot, divide both of them. For example, in graph #1 on the second dot, the numbers are 80 and 16. The quotient of that is 5. The quotient of those other numbers in that graph are also 5. The instructions ask to use the formula "y = kx". Therefore, y = 5kx.

User Rajesh Subramanian
by
2.8k points