Question

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

x y
0 900
1 850
2 800
3 750

Answer 1

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

The car is traveling 50 miles per hour because you can see that the distance from it's destination is decreasing by 50.

Need to check my answer

Answer 2

@ninjasandtigers

Answer 3

The distance traveled is decreasing. So I thnk he is traveling backward, but still it is 50mps yes

Answer 4

OK thanks, But I need help with the rest

Answer 5

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.

Answer 6

hmm so the formula for average rate of change would be

Answer 7

It's slope, but I keep forgetting the formula -_-

Answer 8

so it will be f(b)-f(a)/b-a

Answer 9

\[\frac{ y _{2}-y _{1} }{ x _{2}-x}\]

Answer 10

can you plug in the numbers for me?

Answer 11

oh and yeah that slope formula could work out too

Answer 12

that should be x_2-x_1

Answer 13

Yes! Thanks @ninjasandtigers lol i knew the formula from when you told me earlier but I forgetting it already lol

Answer 14

haha your welcome :)

Answer 15

what would you get if you calculated?

Answer 16

so 0 = x1 1 = x2
900 = y1 850 = y2

Answer 17

yup

Answer 18

850 - 900 = -50

Answer 19

\[\frac{ 850-900 }{ 1-0}\]

Answer 20

1 - 0 = 1

Answer 21

-50 / 1 = -50

Answer 22

thats it!!!!

Answer 23

yes so that is your slope :)

Answer 24

now plug in any set of coordinates into y and x

Answer 25

Wait, but it says x = 1 TO x = 3? I should have used (3,750) right?

Answer 26

the slope from (1,850) to (3,750) would be -100

Answer 27

Ah ok, hold on let me rewrite the answer

Answer 28

1 = x1 3 = x2
850 = y1 750 = y2
750 - 850 = -100
3 - 1 = 2
-100/2 = -50

Answer 29

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

Answer 30

did you already find the y intercept?

Answer 31

OH WAIT lol no i didnt!

Answer 32

ok so lets use (0,900)

Answer 33

y=mx+b
900=-50(0)+b
900=b

Answer 34

Okie, now what?

Answer 35

ok so, y=-50x+900

Answer 36

you don't know where the destination is, so it will be all real numbers

Answer 37

ok but what is the domain?

Answer 38

that is the domain, all real numbers, because you don't know where the destination is so the car could stop anywhere

Answer 39

Ohh.. Okay, thank you so much! :)

Answer 40

welcome :D