Question

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

(this) http://prntscr.com/bsfwd7

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 tell what the average rate represents. (4 points)

Part C: What would be the domain of this function if the car traveled the same rate until it reached its destination? (2 points)

Answer 1

@agent0smith

Answer 2

@TheSmartOne

Answer 3

So, the y-intercept is 900 correct?

Answer 4

yes - and that is when Time = 0

so whereis the car when t=0?

Answer 5

Avg. rate of change is the exact same thing as slope. Use the slope formula.

Answer 6

Sorry Cox went out nation wide.

Answer 7

@agent0smith You there?

Answer 8

@pooja195 @TheSmartOne @jim_thompson5910

Answer 9

hewro

Answer 10

Can you help me? For A: I got the slope 900, but what does it have to do with the car :/

Answer 11

Basically, before he started driving, he was already 900 miles away from his destination. Do you understand?

Answer 12

So the answer would be The y-intercept is 900 and that means he started off 900 miles from his destination.

Answer 13

Yes :)

Answer 14

Now B.

Answer 15

\(\sf\Large Slope = \frac{\color{blue}{y_2}-\color{red}{y_1}}{\color{green}{x_2}-\color{purple}{x_1}}\)

Where the two points are in the form:

\(\sf\Large (\color{purple}{x_1},\color{red}{y_1})~and~(\color{green}{x_2},\color{blue}{y_2})\)

Answer 16

So in the graph I can make a point (0, 900) and (1, 850)?

Answer 17

Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3, and tell what the average rate represents. (4 points)

The question wants the points where x = 1 and x = 3

Answer 18

(1, 850) and (3, 750)?

Answer 19

yes, find the slope of those two points :)

Answer 20

-100 over 2? Would I simplify?

Answer 21

@jim_thompson5910 You there?

Answer 22

yes, you can simplify it :)

Answer 23

yes I'm letting @TheSmartOne answer

Answer 24

Ok, so -50 is the slope of the two points?

Answer 25

correct :)

and what do you think the slope represents?

Answer 26

Travels 50 miles an hour?

Answer 27

Or every hour he gets 50 miles closer to his destination?

Answer 28

correct :)

Answer 29

So the answer would be, The slope between x = 1 and x = 3 is -50 and it represents he is getting closer to his destination by 50 miles an hour.

Answer 30

Sounds good :)

now
Part C: What would be the domain of this function if the car traveled the same rate until it reached its destination? (2 points)

Basically, we have to find the x-intercept as that would be the last x value in the domain since then the distance to the destination would become 0.

Answer 31

All I know is for it to be a function the domain cannot be the same 2 numbers. So how would I find that?

Answer 32

Yeah, here we're not worried about it being a function or not a function.

To find the x-intecept, you plug in y = 0 and solve for x

Answer 33

x = 18?

Answer 34

yes :)

Answer 35

All I would say would be 18 correct?

Answer 36

I have 1 more question and its A - D, Ill post it in a new one. Ill tag you :D

Answer 37

The domain would be from 0 to 18

Answer 38

Thank you so much!