Question

The table below represents the distance of a car from its destination as a function of time.



Part A: What is the y-intercept of the function and what does this tell you about the car? (4 points)

Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 and what does the average rate represent? (4 points)

Part C: What would be the domain of this function if the car does not change motion?

Answer 1

Time Distance
(Hour) (miles)
x y
0 50
1 52
2 54
3 56

Answer 2

The y-intercept is 50

Answer 3

That tells us that the initial distance the car traveled at hour 0 is 50 miles.

Answer 4

Average rate of change is done using this formula:\[\frac{ f(b) - f(a) }{ b - a }\]
Where f(b) and f(a) represent the output values, or in this case the miles the car has traveled. The b and the a represent the hour, or the input values.

Answer 5

So this is how it would look for this scenario: \[\frac{ f(3) - f(1) }{ 3 - 1 }\]
This also means:
\[\frac{ 56 - 52 }{ 3 - 1 }\]

Answer 6

Before we proceed I would like some feedback from you. What is the average rate of change between hour 1 to hour 3? All you have to do is solve the equation I have you above.

Answer 7

It is 2

Answer 8

Right, the average rate of change from hour 1 to hour 3 is 2. This means that, on average, the car traveled 2 miles every hour from hour 1 to hour 3.

Answer 9

I believe that the domain for this function would be \[0\le x \le3\]
**NOTE: I said I believe, which means that I'm not sure. This is the same thing I'm currently learning. I'm 90% positive that I'm right though.**

Answer 10

Medals would be appreciated...and you're welcome for the help

Answer 11

You are awesome thank you.