Question

Help!!!! 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 traveled the same rate until it reached its destination? (2 points)

Answer 1

The table for it

Answer 2

@iPwnBunnies

Answer 3

@ganeshie8

Answer 4

Please help

Answer 5

for the second part , Average rate of the change of the function is y2-y1/x2-x1 , where (x1,y1),(x2,y2) are the starting and ending points respectively
therefore average rate change between x = 1 , to x = 3 wud be
750-850/3-1 = -100/2 = -50

Answer 6

Did this make any sense to u? O_O

Answer 7

Wouldn't the y intercept be 900

Answer 8

Oh yes Nvm! It wont be equation but it wud be x+1 is directly proptional to y+100 , Good call there! , when x is 0 , y is 900 so y-intercept is 900

Answer 9

Okay then it asks what does it tell me about the car?

Answer 10

I'm not sure how to explain that

Answer 11

well it just tells u that when time is 0 , car is 900 miles away from the destination

Answer 12

Theres no other thing it could possibly tell abt the car...... .-. Dint make sense eh?

Answer 13

No it makes sense and for C?

Answer 14

if car is travelling from the same rate , that means distance is going to decrease in the intervels of 50 miles until it becomes 0.
0 900
1 850
2 800
3 750
4 700
5 650
6 600
7 550
8 500
9 450
10 400
11 350
12 300
13 250
14 200
15 150
16 100
17 50
18 0
YAY! Reached the destination !, jesus christ it took so much effort to type all dat
So Domain wud be all the numbers from 0 to 18
or u can write [0,18]

Answer 15

Lol! Sorry thank you can you help me with more questions

Answer 16

#2

Answer 17

ok well.lets call the rent y and days x then rate of change of function wud be
dy/dx = 625-465/7-5 = 160/2=80
Now to write it in the standard x, y form
take the dx to the otherside and integrate the equation
\[\int\limits dy =80\int\limits dx \]
that would make it
y = 80x + c (constant)

Answer 18

Okay, sorry but going back up to number one for part B what does the average rate of change represents

Answer 19

Well it represents the average speed for the first question

Answer 20

average speed of the car

Answer 21

It represents the average speed of the car from one hour to the next?

Answer 22

Yeap!

Answer 23

Okay back to #2

Answer 24

now going back to the second question we got
y = 80 x + c
now we gotta find c
u can place value of x , y from the given values
that is
465 and 5
that makes our equation
465 = 80 x 5 +c
465 = 400 + c
c = 65
therefore our genral equation is now
y = 80 x + 65

Answer 25

is that clear?

Answer 26

Yes , as a function notation would I just add fx to the end of it?

Answer 27

Yes!

Answer 28

Actually in place of y , u have to write F(x)

Answer 29

Yeah, okay how would I do part c

Answer 30

well just alot random values to x and see what value y will get , and mark those points in graph,
for instance
when x = 0 , y = 65
so our point on the graph would be (0,65)
take three-four such points by assigning values to x , and join those points

Answer 31

Okay what do they mean by intervals ?

Answer 32

intervals are the difference between the values of the y

Answer 33

and differnce in the values of x

Answer 34

Okay

Answer 35

#3

Answer 36

well slope of the function wud be dy/dx
so slope of f(x)
7-(-9)/1-1 = infinite
while the slope of g(x) = d/dx(3x-2) = 3

Answer 37

I got 8 for the slope

Answer 38

Oh my bad 7-(-9) / 1-(-1) = 16/2 that would be 8

Answer 39

plus g(x) 's y intercept wud be 3(0)-2 = -2
and f(x)'s y intercept is -1 so F(x) has greater y intercept

Answer 40

How do the slope s compare, they're both positive?

Answer 41

Yeap But g(x) has larger value of slope so it wud be less bent toward X-axis

Answer 42

You mean fx has a larger slope

Answer 43

Ah yes! 8 is of F(x) right? then yes xD sorry i can hardly keep my eyes open its 8 Am here xD

Answer 44

Oh, I'm sorry lol . #4

Answer 45

isnt this the same question? O_O

Answer 46

Sorry

Answer 47

this relation isnt a function as a function cannot have different images for the same x in the domain

Answer 48

So every x has to have their own individual output?

Answer 49

Yes! one value of x cannot have two different values of y , in the given relation 1 has two values of y (0,-1) , therefore its not a function

Answer 50

and in the second part to find f(4) just put the value of x as 4 in the equation that will give u the value of f(4)

Answer 51

and In part C an ordered pair is---> (x,y) so when x is p , y would be -p+6
so ordered pair will be (p , 6-p)

Answer 52

got it eh? O_O

Answer 53

One moment I'm looking at it

Answer 54

Okay I got it

Answer 55

#5

Answer 56

f(w) total weight will be weight of the trucks + n x weight of each bale
therefore
f(w) = 4500+150n
f(w) = 150(30 + n)

Answer 57

for part b put n as 15 that will make
f(w) = 150(30+15) = calculate that

Answer 58

for part c , a cartoon worth 20Kg(Eh? must be daffy duck,oh waits Its carton ,idk why i read that as cartoon :/) is also added to the truck
so now total wait wud be
f(w) = 150(30+10) + 20
f(w) = 150(300) + 20 = 45020 (idk if thats correct, calculate) :/

Answer 59

Okay, thank you so much!

Answer 60

thats all? *whew* No worriez

Answer 61

You're amazing

Answer 62

gee thanks! glad to help