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Aleonysh [2.5K]
3 years ago
9

Find the constant of proportionality for the table and write in the form y = kx.

Mathematics
1 answer:
atroni [7]3 years ago
6 0

Answer:

y=4x

Step-by-step explanation:

it's enough to use first column (x=6, y=24). Inserting this data into equation y=kx, we can calculate k.

24=k*6

6k = 24

k = 24/6

k = 4

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Rowan reads at a constant rate of 1.5 pages per minute and has already
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Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.

What is a linear function?

  • A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

For Rowan, we have that:

  • He has already read 20 pages, hence the y-intercept is b = 20.
  • He reads 1.5 pages per minute, hence the slope is a = 1.5

Then:

y_R = 1.5x + 20

For Kennedy, we have that:

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  • He reads 1 page per minute, hence the slope is a = 1

Then:

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They will have read the same number of pages after x minutes, for which:

y_R = y_K

Then:

1.5x + 20 = x + 25

0.5x = 5

x = \frac{5}{0.5}

x = 10

To learn more about linear function, you can take a look at brainly.com/question/25823744

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