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GREYUIT [131]
2 years ago
13

Scenario: Kevin is baking cupcakes for a fundraiser at his school. Yesterday, he prepared 30 cupcakes in 45 minutes. Today, he p

repared 20 cupcakes in 30 minutes.
A) Does the scenario represent a direct variation?
B) If yes, explain the meaning of the constant of proportionality in the scenario.

take your time if you want :)

Mathematics
1 answer:
attashe74 [19]2 years ago
5 0

a) As the constants are equal, the situation represents a proportional relationship.

b) The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the constants for each situation are:

k = 30/45 = (30/15)/(45/15) = 2/3 = 20/30.

Since the constants are equal, the situation represents a proportional relationship.

The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.

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

#SPJ1

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"perimeter of the rectangle is 148 meters"

2L + 2W = 148

L + W = 74

(3W-6) + W = 74

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L = 3W-6 = 54 m

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Step-by-step explanation:

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62

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If y varies directly as x and y = 3 when x = - 9, then find x when y = 5.
Rus_ich [418]

Answer:

d. - 15

Step-by-step explanation:

The equation for direct variation is

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We know y =3 when x = -9

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The equation is then

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