Question

2.) Rita Reads a book at a steady pace. Rita graphs her progress through the book by putting the time in hours "t" on the horizontal axis and chapters remaining "C" on the vertical axis. Which equation describes Rita's graph? *v

Answer 1

`c=-3t+24`

Step-by-step explanation:

The figure of the graph is missing: find it in attachment.

The two variables involved here are:

- Along the x axis (independent variable), the time "t", in hours

- Along the y axis (dependent variable), the remaining chapters "c"

The relationship between the two variables is linear and so it can be written in the following form:

`y=mx+q` (0)

where

m is the slope of the line

q is the y-intercept

The y-intercept is the value of y when x = 0; here, it is the value of c when

t =0.

From the graph we see that this is

c = 24

So

q = 24 (1)

The slope can be found by evaluating the ratio

`m=(\Delta y)/(\Delta x)`

for 2 points along the line.

Taking the following points:

(0,24)

(8,0)

We find:

`m=(24-0)/(0-8)=-3` (2)

So, we can rewrite (0) using (1) and (2):

`y=-3x+24`

which means

`c=-3t+24`