1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Drupady [299]
3 years ago
8

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

st (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? (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) (10 points)
Mathematics
1 answer:
andriy [413]3 years ago
4 0
Part A: The y-intercept is 5. If you look to the data, when x=0, y=5. This means that the turtle started off 5 miles away from its nest. (at 0 hours, the distance away from his nest was 5 miles)

Part B:Answer=22. Remember, if you take any two distinct points on a line, the slope of the line will be equal to the average rate of change. In short,  we're just looking for the slope between the ordered pairs (1,27) and (4,93). The formula for slope is:

slope= \frac{y_{2}- y_{1} }{ x_{2} - x_{1} } = \frac{93-27}{4-1}= \frac{66}{3}=22

The average rate of change between x=1 and x=4 is 22. The average rate of changed describes the rate at which miles is changing with respect the the change in hour.

Part C: Answer=10hours. Since by now we know both the slope and the y-intercept, lets write the equation in slope intercept form and then solve for 225 miles.

y=mx+b
y=22x+5
225=22x+5
subtract 5 from both sides
220=22x
divide both sides by 22
10=x
It would take 10 hours for the turtle to travel 225miles from it's nest.
You might be interested in
Add the two expressions. −2.4n−3 and −7.8n+2 Enter your answer in the box. plz help QUICK!!!!!!!!!!
Nikolay [14]
-2.4n-3+-7.8n+2
you combine like terms
(-2.4n+-7.8n)+(-3+2)
= -10.2n-1
8 0
3 years ago
Bill used candle molds, as shown, to make candles that were perfect cylinders and spheres.
34kurt

volume cylinder

=3.14×2^2×5

=62.8 cubic inches

volume sphere

=4/3×3.14×2^3

=33.49

difference between cylinder and sphere

=62.8-33.49

=29.31 cubic sphere

8 0
3 years ago
8.6 divided by 1,000 =<br> find the quotient. divide decimals by power of ten.
sp2606 [1]
The android sjsjsben 86
6 0
3 years ago
Please please someone help
natka813 [3]

The answer is the first one:

bc its not growing by a (-)1/2  and the 3rd one just doesnt make sense

7 0
3 years ago
Read 2 more answers
The sum area please.
Ann [662]

Answer:

4xy+24y^2−7x−38y−7

Step-by-step explanation:

(-7+4y) (6y+x+1)

-7*6y= -42y

-7*x= -7x

-7*1= -7

4y*6y= 24y²

4y*x= 4yx

4x*1= 4y

Add them up

3 0
3 years ago
Other questions:
  • I need help on the last one. I have learned this before but it was a while ago. I just need to know how to set up the equation.
    15·2 answers
  • Which of the following is true if Tom walks his dog 13.5 blocks each day and Margo walks her dog 12.5 blocks each day? A. The pr
    8·2 answers
  • -5(4x+7) {less than to equal to symbol} 25
    14·1 answer
  • This box can be packed with 48 unit cubes
    5·1 answer
  • I need help! ( Thank you )
    7·1 answer
  • The sum of a number and 9 is 17. find the number
    10·2 answers
  • Find the unknown value in the ratio.
    7·1 answer
  • HELP! ASAP! 3x - 4y = -7 and 4x + 3y = 24 solve for x and y
    9·2 answers
  • Help me with this please
    10·1 answer
  • Segments KN and LM are transversals. What is true about the measure of angle N?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!