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Nina [5.8K]
3 years ago
10

Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After 444 hours, he had 350350350 page

s left to read.
Let yyy represent the number of pages left to read after xxx hours.
Complete the equation for the relationship between the number of pages left and number of hours.
Mathematics
1 answer:
natali 33 [55]3 years ago
8 0

Answer:

y=-55x+570

Step-by-step explanation:

The correct question is

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read.

Let y represent the number of pages left to read after x hours.

Complete the equation for the relationship between the number of pages left and number of hours.

Let

x -----> the time in hours

y ----> the number of pages left to read

we know that

The linear equation in point-slope  form is equal to

y-y1=m(x-x1)

In this problem we have

m=-55\frac{pages}{hour}  ----> is negative because the linear function is decreasing

point\ (4,350)

substitute

y-350=-55(x-4)

y-350=-55x+220

y=-55x+220+350

y=-55x+570

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What is the equation of a line perpendicular to:
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Step-by-step explanation:

"perpendicular" means it creates a right angle (90°) with the original line.

a key element is the slope (the incline) of the line.

it is the factor of x (here 1/4 for the original line) and is defined as the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

the given slope of 1/4 means that for every increase in x by 4 units y increases by 1 unit.

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so, our original slope 1/4 turns into -4/1 = -4.

we still have infinite possibilities to draw such a perpendicular line (more up or more down on the coordinate grid).

to finally "nail" one particular line we need to use the given point and solve for the y-intercept.

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