Question

Rashawn read 25 pages of his book each day until he finished the book. His book was 400 pages long.

Which sketch represents this situation?

Answer 1

graph in the bottom left
reason: he started off with 400 pages and thats at (0,400), he reads 25 each day and so it slowly declines until day 16 when hes run out of pages to read, represented in (16,0)

Answer 2

The first thing we are going to do for this case is define variables.

We have then:

x: number of days

y: number of pages remaining.

We write the linear equation that models the problem:

$y = -25x + 400$

The intersection with the vertical axis is:

We evaluate x = 0:

$y = -25 (0) + 400 y = 0 + 400 y = 400$

We get the point:

$(x, y) = (0, 400)$

The intersection with the horizontal axis is:

We evaluate y = 0:

$0 = -25x + 400 25x = 400$

$x = \frac{400}{25} x = 16$

We get the point:

$(x, y) = (16, 0)$

Answer:

The graph is:

$y = -25x + 400$

Graph located in the bottom left.