Mathematics, 31.01.2021 14:00 roxygirl8914

Sonny has entered a reading contest at the local library. After reading two books, he has read 396000 words of text. After five books, he has read 990000 words of text. Write a linear function in slope-intercept form to model his progress where x is the number of books read and y is the total number of words read.

y=

How many books will he need to read to reach a total of 10,000,000 words?

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Answer from: hannahsambrano12

Please check the expalantion.

Step-by-step explanation:

Let

x is the number of books ready is the total number of words read

Given that:

After reading two books, he has read 396000 words of text.

Thus, we get the point (2, 396000).

After five books, he has read 990000 words of text.

Thus, we get the point (5, 990000).

As the function is linear, so we take the points

(2, 396000)(5, 990000)

Determining the slope between (2, 396000) and (5, 990000)

(x₁, y₁) = (2, 396000)

(x₂, y₂) = (5, 990000)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [990000 - 396000] / [5 - 2]

= 594000 / 3

= 198000

Thus, the slope of the line = m = 198000

substituting the point (2, 396000) and m = 198000 in the slope-intercept form of the linear equation to determine the y-intercept

y = mx+b

396000 = 198000(2) + b

flipe the equation

198000(2) + b = 396000

396000 + b = 396000

subtracting 396000 from both sides

396000 + b - 396000 = 396000 - 396000

b = 0

now substituting b = 0 and m = 198000 in the slope-intercept form of the linear equation to determine the y-intercept

y = mx+b

y = 198000x + 0

y = 198000x

Therefore, a linear function in slope-intercept form to model his progress is:

y = 198000x

Part b)

How many books will he need to read to reach a total of 10,000,000 words?

As we have already determined a linear function in slope-intercept form to model his progress.

y = 198000x

substituting y = 10,000,000 in the equation

y = 198000x

10,000,000 = 198000x

flip the equation

198000x = 10,000,000

dividing the both equation by 198000

198000x/198000 = 10,000,000/198000

x = 50.5

Thus, Sonny will need to read 50.5 books to read to reach a total of 10,000,000 words.

Answer from: Quest

answer: what equations are there

step-by-step explanation:

Answer from: Quest

The answer is all about the number 4

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Sonny has entered a reading contest at the local library. After reading two books, he has read 39600...

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