Answer:
c=0.6d+1.2
Step-by-step explanation:
Let c the cost and d the distance. The linear equation has the form
c=md+b
the slope m can be computed by means of the given points:
(d1,c1)=(3,3)
(d2,c2)=(6,4.8)
where
[tex]m=\frac{c2-c1}{d2-d1}[/tex]
hence
[tex]m=\frac{4.8-3}{6-3}\\m=\frac{1.8}{3}\\m=0.6[/tex]
Now, we must find the y-intercept "b" in the equation c=0.6d+b, by using the point (3,3), that is
3=0.6(3)+b
3=1.8+b
b=3-1.8
b=1.2
Finally, the answer is
c=0.6d+1.2
