Question

Help with Algebra question. (Functions)

Answer 1

The table below represents the displacement of a turtle from its nest as a function of time:


Time (hour) | Displacement from nest (miles
x | y
0 | 5
1 | 27
2 | 49
3 | 71
4 | 93

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

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

Part C: What would be the domain of the function if the turtle continued to walk at this rate until it traveled 225 miles from the nest? (2 points)

Answer 2

I already solved Part A and Part B
I need help with part C

Answer 3

Also if you guys can check my Part A and B

Answer 4

PART A :
The "Y" intercept tells you how far away the turtle is from the nest in miles.

PART B :
For the rate of change I got 66/3 or "22"

Answer 5

For part C can I just write 15? or do I have to write 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15.

Answer 6

A is incomplete

Answer 7

@amistre64 How so?

Answer 8

Do I say that the turtle was 5 miles away from the nest when he started?

Answer 9

thats better, define the distance with reference to a frame in time

Answer 10

22 is fine for the other

Answer 11

Okay, how about Part C?

Answer 12

what is a domian?

Answer 13

The domain is all the x values.

Answer 14

vague, need to be more precise

Answer 15

I decided that by the time the turtle would travel 225 miles it would be the 15th hour

Answer 16

Domain is all the values that x can take on

Answer 17

that's the definition that my lesson gave me.

Answer 18

the domain consist of all the x values that make sense for the situation.

x = -5 makes no sense for this situation does it?

Answer 19

No, that does not make sense at all :P

Answer 20

or my turtle is a time traveler.

Answer 21

22 miles per hour ... you think thats a fast turtle?

Answer 22

well, what if the turtle was traveling in the water?

Answer 23

22 miles per hour for (x hours) given that we started at 5 miles away ... equals 225

225 - 5 = 220

220/22 = 10 hours

Answer 24

our domain is thereofr from x=0 to x=10 right?

Answer 25

Oh... I was way off :/

Answer 26

Yes.

Answer 27

I don't know how I could have gotten 15.

Answer 28

5 to 225 is a distance of 220 ... i dont know how youd of done it either

Answer 29

Thank you for your help, I will watch out the next time I see an empty x value and a filled y value when finding the domain.

Answer 30

good luck :)

Answer 31

:)