Answer:
[tex]y=-52x+480[/tex] .
Step-by-step explanation:
Shryia read a book cover to cover in a single session, at a constant rate.
Let y represent the number of pages left to read after x hours.
It is given that After reading for 1.5 hours, she had 402 out of the total 480 pages left to read.
It means the line passes through the points (0,480) and (1.5, 402).
If a line passes through two points, then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-480=\dfrac{402-480}{1.5-0}(x-0)[/tex]
[tex]y-480=\dfrac{-78}{1.5}(x)[/tex]
[tex]y-480=-52x[/tex]
[tex]y=-52x+480[/tex]
Therefore, the required eqaution is [tex]y=-52x+480[/tex].
