High School

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The graph shows how many bottles a machine caps in a certain number of seconds.

(shown in the picture below)

Part A

What is the constant of proportionality, and what does it mean in this situation?

Use the drop-down menus to show and explain your answer.

The constant of proportionality is __ (Choices: 15, 30, 20) ; the machine caps __ (Choices: 30, 20, 15) bottles in ____________ (Choices: 1 second, 1 minute, 15 seconds)


Part B

Which of the following is an ordered pair on the graph? What does it represent in this situation?

A. ) (45, 90); the machine caps 45 bottles in 90 seconds.

B. ) (45, 900); the machine caps 45 bottles in 900 seconds.

C. ) (45, 900); the machine caps 900 bottles in 45 seconds.

D. ) (900, 45); the machine caps 900 bottles in 45 seconds.

The graph shows how many bottles a machine caps in a certain number of seconds shown in the picture below Part A What is the

Answer :

Considering the proportional relationship graphed, it is found that:

A. The constant is of 20.

B. A pair on the graph is given as follows: C. ) (45, 900); the machine caps 900 bottles in 45 seconds.

What is a proportional relationship?

A proportional relationship is a linear function with intercept zero in which the output variable y is given by the multiplication of the input variable x and the constant k, as follows:

y = kx.

Considering point (15, 300) on the graph presented, the constant is calculated as follows:

300 = 15k

15k = 300

k = 300/15

k = 20.

The input and the output are given as follows:

  • Input: number of seconds.
  • Output: number of bottles capped.

Hence option C is the correct option for item 2.

More can be learned about proportional relationships at https://brainly.com/question/10424180

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