y = 16h is the equation that represents the situation, where "y" is the total cost to rent and "h" is the number of hours
<h3><u>Solution:</u></h3>
Given that, cost y to rent an off road vehicle is proportional to the time that you rent it
Let "y" be the cost to rent the road vehicle
Let "h" be the number of hours rented for
Then, by given statement,

-------- eqn 1
Where "k" is the constant of proportionality
<em><u>Given that it costs $ 48 to rent it for 3 hours</u></em>
Therefore, y = 48 and h = 3

<em><u>Substitute k = 16 in eqn 1</u></em>

Thus y = 16h is the equation that represents the situation
Answer:

Step-by-step explanation:
Given
The attached table
Required
Determine the equation of the table
The table represents an exponential function. So, we make use of

When x = 0, y= 5.
So:
becomes




When x = 1; y = 15
So;
becomes


Substitute 5 for a

Divide both sides by 5



Substitute values for a and b in: 

-12 + (-11) > 5 + (-29)
-12 - 11 > 5 - 29
-23 > - 24 (true)
The ball's velocity will be represented by the derivative of its distance function:

Now find the times

for which this is equal to 30, i.e. solve

This has two solutions,

, but only one is positive and falls in the interval
![[0,3]](https://tex.z-dn.net/?f=%5B0%2C3%5D)
. So the velocity reaches 30 cm/s when

.
It depends on what type of transportation you would be using. If you were walking, it would be reeeaaaalllly slooowww. If a train, <em>much faster!</em>