The table below represents the displacement of a turtle from its nest as a function of time: Time (hours) x Displacement from nest (miles) 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? 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. 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?

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The table below represents the displacement of a turtle from its nest as a function of time: Time (hours) x Displacement from nest (miles) 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? 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. 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?

Algebra
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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I NEED HELP PLEASE ????????? HELP MEEEEEE
`Part A: What is the y-intercept of the function, and what does this tell you about the turtle?` when x = 0, what is the value of y?
The information is given in the table

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yea
do you see where I'm referring to?
no sorry not that good at math
look at the row that has x = 0 what is next to that value?
5
so x = 0 and y = 5 pair up giving the ordered pair (0,5)
what this means is that at time 0 hours, the distance is 5 miles basically the turtle is 5 miles away from the nest at the beginning
ok so i write a equation
no you just use words to explain what the y intercept means
similar to how I explained it just now
ok got it .......................so for part B I din't know how to do it can you help me
`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.` fill in these blanks if x = 1, then y = ________ if x = 4, then y = ________
Y=27 Y=93
so we have these two points that are of interest to us (1,27) and (4,93)
find the slope through those two points to get the answer
slope formula \[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]
if thats not right then i think it might be m=-66/3
you should get 66/3 which reduces to 22
yep
what does this mean in terms of the problem?
22 miles i think
close
not quite the full picture though
slope = 22 = 22/1 this means that each time x increases by 1, y increases by 22 each time the hour amount goes up by 1, the mile amount goes up by 22 basically the turtle is going (22 miles)/(1 hour) = 22 mph. This is a very fast turtle lol
yea lol thanks

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