Question

Please help, will give medal and fan. Algebra 1

Answer 1

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.

Answer 2

The y tells you how far away the turtle is from the nest in miles.

Answer 3

The y-intercept is (0,5)

Answer 4

and it says that the turtle started 5 miles from its nest?

Answer 5

Yes

Answer 6

So at point (0,5) the turtle started.

Answer 7

when I calculated the rate of change I got \[\frac{ 66 }{ 3 }\] I don't know if I should simplify that or not...

Answer 8

When calculating you used rise/run correct?

Answer 9

no I used\[\frac{ f(b)-f(a) }{ b-a }\]

Answer 10

which is basically the same thing, wow, so yes

Answer 11

Ok good

Answer 12

so should I simplify?

Answer 13

So, you would want to simplify

Answer 14

Just like if you had gotten 8/4, you would simplify it to 2.

Answer 15

and it represents how fast the turtle is going?

Answer 16

Yes, it represents the rate of change between the two measurement.

Answer 17

Which would be the speed of the turtle

Answer 18

ok. can you help me with one more thing?

Answer 19

Sure

Answer 20

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?


To get to 225 the x value is 15. For the domain should I write out 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 or just make an inequality or something?

Answer 21

You would make the inequality

Answer 22

so it would look like\[1\le x \le15\]

Answer 23

No I'm sorry! Not the inequality

Answer 24

http://www.purplemath.com/modules/fcns2.htm

Answer 25

I have to log off, but this article should help you. There is also a video.

Answer 26

Thank you so much!

Answer 27

Of course!
I hope I helped