Answer:
[tex]c=-3t+24[/tex]
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:
[tex]y=mx+q[/tex] (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
[tex]m=\frac{\Delta y}{\Delta x}[/tex]
for 2 points along the line.
Taking the following points:
(0,24)
(8,0)
We find:
[tex]m=\frac{24-0}{0-8}=-3[/tex] (2)
So, we can rewrite (0) using (1) and (2):
[tex]y=-3x+24[/tex]
which means
[tex]c=-3t+24[/tex]
