Q:

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 pages 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.

Accepted Solution

A:
Answer:[tex]y=-55x+570[/tex]Step-by-step explanation:The correct question isNaoya 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.Letx -----> the time in hoursy ----> the number of pages left to readwe know thatThe linear equation in point-slope  form is equal to[tex]y-y1=m(x-x1)[/tex]In this problem we have [tex]m=-55\frac{pages}{hour}[/tex]  ----> is negative because the linear function is decreasing[tex]point\ (4,350)[/tex]substitute[tex]y-350=-55(x-4)[/tex][tex]y-350=-55x+220[/tex][tex]y=-55x+220+350[/tex][tex]y=-55x+570[/tex]