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maria [59]
2 years ago
6

A factory worker packed 12 boxes at a constant rate, took a 30-minute break, and then continued packing the boxes at twice the r

ate before the break. The worker then spent `1/2` an hour cleaning the work area. Which of the following represents the domain for this situation?
A. 4.5≤t≤24
B. 0≤t≤4.5
C. 0
D. 0≤b≤24
Mathematics
1 answer:
Daniel [21]2 years ago
7 0

Answer:

A - 4.5<t<24

Step-by-step explanation:

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A) The constant of proportionality in this proportional relationship is k = \frac{y}{x}

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<h3><u>Solution:</u></h3>

Given that,

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Therefore,

This is a direct variation proportion

\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

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Thus the constant of proportionality in this proportional relationship is:

k = \frac{y}{x}

<em><u>Last month, she paid $3.20 for 16 international texts</u></em>

Therefore,

y = 3.20

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3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

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