Answer:
a. [tex]S = 3 + 5t[/tex]
b. [tex]S = 18\ miles\ from\ the\ bank[/tex]
c. Graph in the image attached
Step-by-step explanation:
a.
We can model how far from the bank Mr Reder is using a linear equation:
[tex]S = So + v*t[/tex]
Where S is his final position, So is his inicial position, v is his velocity and t is the time elapsed.
So, if we have So = 3 miles and v = 5 miles per hour, we have:
[tex]S = 3 + 5t[/tex]
b.
To find his position after 3 hours, we just need to use t = 3 and then find the value of S:
[tex]S = 3 + 5*3[/tex]
[tex]S = 3 + 15 = 18\ miles\ from\ the\ bank[/tex]
c.
The graph of the equation is in the image attached.
