Step-by-step explanation:
False
Answer:
0.0857
Step-by-step explanation:
3/5 divided by 7 will give you the unit rate, or miles per minute.
Answer:
Yes, y =
x represents a proportional relationship and the constant of proportionality is 
Step-by-step explanation:
<em>The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality </em>
- If x and y are proportion, then y = k x, where k is the constant of proportionality
- The proportional relationship represented graphically by a line passing through the origin point (0, 0)
Let us solve the question
∵ y =
x
→ It the same as the form of the proportional equation above
∵
is a constant
∴ y is the product of x and constant
∴ y =
x represents a proportional relationship
Substitute x by 0 to find y and show it represented by a line passing through the origin
∵ x = 0
∴ y =
(0) = 0
→ That means point (0, 0) lies on the line which represents the equation
∴ The line which represents this relation is passing through the origin
∴ y =
x represents a proportional relationship
∵ y = kx, k is the constant of proportionality
∵ y =
x
∴ k =
∴ The constant of proportionality is 
The proportionality constant of the given graph is k = 16.
<h3>How to find the proportionality constant of a graph?</h3>
The proportionality constant of a graph is the ratio of the y-coordinates to the x-coordinates.
Thus, it is written as k = y1/x1 = x2/y2 = ... = yn/xn
<h3>Calculation:</h3>
The given graph has the coordinates as
x = 0; y = 0 i.e., (0, 0)
x = 0.5; y = 8 i.e., (0.5, 8)
x = 1; y = 16 i.e., (1, 16)
x = 1.5; y = 24 i.e., (1.5, 24)
and so on.
Then, the ratio of y - coordinate to the x - coordinate is
k = 8/0.5 = 16
or
k = 16/1 = 16
or
k = 24/1.5 = 16
and so on.
So, the proportionality constant for the given graph is k = 16.
Learn more about the proportionality constant here:
brainly.com/question/1835116
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