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siniylev [52]
3 years ago
8

Find two points on the line to be graphed. y-5=0

Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0
Any point with the y of 5 could be the answer
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A baker, in 70 minutes, iced 40 cupcakes and, in 49 minutes, iced 28 cupcakes. What is the constant of proportionality?
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Answer:

\frac{4}{7}

Step-by-step explanation:

The constant of proportionality is the slope of the line joining the two points

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Recall the slope formula:

m =  \frac{ y_2 -  y_1 }{ x_2 - x_1}

We substitute the point to get:

m =  \frac{28 - 40}{49 - 70}  =  \frac{ - 12}{ - 21}  =  \frac{4}{7}

<u>Alternatively</u>:

A proportional relation is given by

y = kx

where k is the constant of proportionality.

Using any point, we substitute and solve for k.

40 = 70k

k =  \frac{40}{70} = \frac{4}{7}

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Answer:

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