Question

3. Mr Reder has just robbed a bank and is trying to escape on foot. He is

currently 3 miles from the bank and running at 5 miles per hour.
a. Write an equation to model how far from the bank Mr Reder is
after a certain amount of time has passed.
b. How far has he gone after 3 hours?
c. Draw an appropriate graph for this equation.

Answer 1

a.
`S = 3 + 5t`

b.
`S = 18\ miles\ from\ the\ bank`

c. Graph in the image attached

Explanation:

a.

We can model how far from the bank Mr Reder is using a linear equation:

`S = So + v*t`

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:

`S = 3 + 5t`

b.

To find his position after 3 hours, we just need to use t = 3 and then find the value of S:

`S = 3 + 5*3`

`S = 3 + 15 = 18\ miles\ from\ the\ bank`

c.

The graph of the equation is in the image attached.