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Alex73 [517]
3 years ago
9

IN NEED OF HELP PLEASE !!! ALSO EXPLAIN PLEASE

Mathematics
1 answer:
choli [55]3 years ago
5 0

Answer:

  \dfrac{1-10}{8-5}

Step-by-step explanation:

The average rate of change between two points on a graph is ...

  average rate of change = slope = rise/run

The rise over the given interval is the function value at x=8 less the function value at x=5. That is, ...

  rise = 1 - 10

The run is the difference in the x-values:

  run = 8 - 5

Then the average rate of change is ...

  average rate of change = rise/run = (1 -10)/(8 -5)

_____

Here, the points are written as (x, y), so the only pair we're interested in is ...

  (5, 10) and (8, 1)

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Rowan reads at a constant rate of 1.5 pages per minute and has already
saul85 [17]

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:

  • He has already read 25 pages, hence the y-intercept is b = 25.
  • He reads 1 page per minute, hence the slope is a = 1

Then:

y_K = x + 25

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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The table shows the results of a survey of seventh-grade students in the lunch-line
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