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1. A surfer paddles out past breaking waves, rides a

wave, paddles back out past the breaking waves,

rides another wave back to the beach. Draw a sketch

of a graph (with labels) that shows the surfer’s

possible distance from the beach over time.


2. For the table, identify the independent and

dependent variables, Represent the relationship

using words, an equation and a graph.

# of cases of

bottled

water, c

# of bottles

of water,

b

1 24

2 48

5 120

10 240

20 480

for this one i only need the graph cannot find it out

3. Sketch a graph of the function shown by the table. Is

its linear or nonlinear?

x y

1 0

2 1

3 8

4 20

5. Write a function rule to represent the situation:

The volume, V, remaining in a 243 ft3 pile of gravel

decreases by .2 ft3 with each shovelful, s, of gravel

spread in a walkway

Tell whether the relation is a function. Explain your

reasoning.

{(-1, 7), (9, 4), (3, -2), (5, 3) , (9, 1)

7. Tell whether the relation is a function. Explain your

reasoning. find graph below

Describe the pattern in the sequence. Find the next

two terms of the difference.

-2, -5, -8, -11,

the graph for 7

answer pls 1 A surfer paddles out past breaking waves rides a wave paddles back out past the breaking waves rides another wave back to

Answer :

Final answer:

This answer provides step-by-step explanations for various questions related to graphs and functions in mathematics, including sketching graphs, identifying independent and dependent variables, and determining linearity of functions.

Explanation:

1. A surfer paddles out past breaking waves, rides a wave, paddles back out past the breaking waves, rides another wave back to the beach. To sketch a graph that shows the surfer's possible distance from the beach over time, we can use the vertical axis to represent the distance from the beach and the horizontal axis to represent time. The graph would show a series of peaks and valleys as the surfer paddles out and rides waves back.

2. For the given table, the independent variable is the number of bottles of water and the dependent variable is the number of cases of bottled water. We can represent the relationship using words by saying that as the number of bottles of water increases, the number of cases of bottled water also increases. The equation would be c = 2b, where c represents the number of cases and b represents the number of bottles. The graph would show a straight line with a positive slope.

3. The given table represents a nonlinear function, as the values of y do not increase or decrease at a constant rate as x increases. To sketch the graph of the function, we plot the given points and connect them. The graph would show a curved line, indicating a nonlinear relationship.

5. The given situation can be represented by the function rule V = 243 - 0.2s, where V represents the volume remaining and s represents the number of shovelfuls of gravel spread. The relation is a function, as each input (s) produces a unique output (V). The reasoning is that for each value of s, there is only one corresponding value of V.

7. The given relation is not a function, as there is more than one output (y-value) for some inputs (x-values). For example, both (9, 4) and (9, 1) are in the relation, but they have different y-values. The reasoning is that an input should only have one corresponding output in a function.

Learn more about Graphs and Functions here:

https://brainly.com/question/32252484

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Rewritten by : Barada

Answer:

V = 243 - 0.2s

Step-by-step explanation:

See attached document for questions 1 - 3.

5. Write a function rule to represent the situation:

The volume, V, remaining in a 243 ft3 pile of gravel

decreases by .2 ft3 with each shovelful, s, of gravel

spread in a walkway.

Volume Remaining (V) = Initial - Used

Volume Remaining (V) = 243 ft^3 - (0.2 ft^3/shovel)(s shovels)

V = 243 - 0.2s

6. Tell whether the relation is a function. Explain your

reasoning.

{(-1, 7), (9, 4), (3, -2), (5, 3) , (9, 1)

This is not a function. When x = 8, it results in more than one output.

7. Pattern:

-2

-5

-8

-11

Each step decreases by 3

-14

-17

8.