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Anna71 [15]
3 years ago
8

(Algebra 1) I HAVE BEEN STUCK ON THIS PROBLEM AND I NEED YOUR HELPPPP!!!!!!

Mathematics
1 answer:
larisa [96]3 years ago
4 0

Answer:

d = (1/20) t + 2

Step-by-step explanation:

∵ The equation of Monika is:

  d = (1/15)t + 1 ⇒ linear equation

∴ The slope of the line = 1/15 ⇒ speed of Monika

∵ The speed of Mark is 3/4 as fast as Monika

∴ The speed of Mark = 3/4 × 1/15 = 1/20

∵ Mark starts a mile behind her

∵ at t = 0 ⇒ her distance is 1

∴ at t = 0 ⇒ his distance is 2

∴ His equation is d = (1/20) t + 2

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

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<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:

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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.

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