Constant Rate of Change/Constant of Proportionality

Choose the correct answer from each drop down menu to complete the statement. The rate of change of y with respect to x for this function is ​ (a)   ​ ​ (b)  

• negative

• positive

• 2

• 4

What is the rate of change?

Mathematical Equivalence

ON

The rate of change is

Mathematical Equivalence

ON

The graph represents the linear relationship between the number of books Layla has read and the number of months she has been a member of a book club. Which of these statements is supported by the rate of change of this relationship?

• Layla read 2 books in the first 3 months she was a member of the book club.

• Layla read 3 books in the first 2 months she was a member of the book club.

• Layla read 3 books in the first 4 months she was a member of the book club.

• Layla read 4 books in the first 3 months she was a member of the book club.

A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used in, x?

• 0.6

• 48

• 3

• 16

A worker uses 450 inches of steel wire to make 300 springs the same size. At this rate how many inches of steel wire are needed to make 1 spring?

Write an equation for this situation.

• y=9.75x

• y=19x

• y=19.25x

• y=9.5x

Is this graph proportional?

• Yes

• No

What does k represent in the equation y = kx?

• konkrete kids

• constant of proportionality

• kangaroos

• krispy kreme

In the equation y = 14x, what is the constant of proportionality?

• y

• x

• 14