Question

The graph below shows the distance (y) in kilometers of two cars from their destination at different times (x) in minutes. The table shows the values plotted on the graph:
Time
(in minutes)
x 0 10 20 30 40 50 60
------------------------------------------
Car 1
(in km)
y 60 50 40 30 20 10 0
------------------------------------------
Car 2
(in km)
y 60 49.02438 40.05648 32.72904 26.742 21.8502 17.85318
------------------------------------------

Answer 1

Part D: What is the average rate of change from x = 20 to x = 30 for the function representing the motion for car 2? What does the value of this average rate of change represent? (4 points)

Answer 2

I need help writing the function for Car 2, the rest I can do myself.
PLEASE HELP! WILL GIVE A MEDAL!

Answer 3

@iGreen @SolomonZelman

Answer 4

Sorry this is confusing..could you take a picture of it?

Answer 5

Ya there's a graph for it

Answer 6

Sorry I didn't post that earlier :|

Answer 7

Hmm..the y-intercept is 60.

Answer 8

yes this is what I got so far, because I think it should be an exponential function:
f(x) = 60(b)^x

Answer 9

Yeah it's definitely exponential..

Answer 10

I just don't what b is.
I know b is the base of the exponential function and it models the change that is happening.

Answer 11

Yes..

Answer 12

Okay it's gonna be..

f(x) = 60(0.98^x)

Answer 13

Can you explain how you got 0.98?

Answer 14

Slope from (0, 60) and (2, 40) is approximately 0.98. (Using the slope formula)

Answer 15

Graph it here: https://www.desmos.com/calculator

Answer 16

You will see the exact same graph.

Answer 17

Need help with Part D?

Answer 18

No, but thx with everything!!!!!!!!!!

Answer 19

Will u be here if I need help with another question?

Answer 20

Yep.

Answer 21

THX.... I luv u! I actually don't really luv u(like that) but u know.........

Answer 22

as a friend

Answer 23

-.-

Answer 24

Lel

Answer 25

Btw, do you do FLVS?

Answer 26

I'm pretty sure you do..

Answer 27

Yup

Answer 28

'Cause I remember this stuff..

Answer 29

Algebra I?

Answer 30

Did u take FLVS or are u taking it?

Answer 31

I'm still taking FLVS, that's my school. But I've already finished Algebra I..

Answer 32

are u still there @iGreen , because I think I need help with the average rate of change, since, I got a negative decimal

Answer 33

Okay.

Answer 34

\[\frac{ f(b)-f(a) }{ b-a }= \frac{ 40.05-32.72 }{ 20-30 }= \frac{ 7.33 }{ -10 }\]

Answer 35

that doesn't even make sense

Answer 36

so maybe I did something wrong?..............

Answer 37

What is the average rate of change from x = 20 to x = 30 for the function representing the motion for car 2?

This is the formula:

\(m = \dfrac{y_2-y_1}{x_2-x_1}\)


Points: \((20, 40), (30, 32.73)\)

\(y_2 = 32.73\)
\(y_1 = 40\)

\(x_2 = 30\)
\(x_1 = 20\)

Plug it in the formula:

\(m = \dfrac{32.73-40}{30-20}\)

Simplify:

\(m = \dfrac{-7.27}{10}\)

\(m = -0.727\)

Answer 38

It's supposed to be negative..because the slope is also negative..

Answer 39

@Chocolate1031

Answer 40

oh I see, I forgot that formula.......... I LIKE ALWAYS DO, MY DAD KEEPS ON TELLING ME

Answer 41

I am wierd

Answer 42

@iGreen

Answer 43

Lol