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3 years ago

Please help which should I choose

Mathematics

1 answer:

Aleksandr [31]3 years ago

7 0

<h3>Answer: Choice A. Graph (1)</h3>

Reasoning:

If it is at all possible to draw a single vertical line through more than one point on the curve, then the graph is not a function. With graphs (2), (3) and (4), we can draw a vertical line through more than one point on those curves, so they aren't functions. Graph (1) is the only thing left. This graph is a function because it is not possible to draw a single vertical line through more than one point. It passes the vertical line test. Any input (x) leads to exactly one and only one y output.

Nice work on getting the correct answer when you chose "graph (1)".

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5-6. Find the constant of proportionality (unit rate) for each set of values. Then use the constant of proportionality to write

kakasveta [241]

5. The constant of proportionality is 1.5

The equation is <em>p </em>= 1.5×s

6. The constant of proportionality is 1.99

The equation is p = 1.99 × a

7. The variables Number of Pens and Cost are not proportional

Please find attached the required graph

8. The variables Number of minutes and Words Typed are not proportional

Please find attached the required graph

The procedure for finding the answers are as follows;

5. The given data are presented as follows;

$\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}$

Where two variables, <em>s</em> and <em>p</em> are proportional, we get;

p ∝ s

Therefore;

p = C × s

C = p/s

Where;

C = The constant of proportionality

Therefore, the constant of proportionality, <em>C</em>, of the given variables, (number of shirts, <em>s</em>, and profit, <em>p</em>, is found as follows;

C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5

The constant of proportionality, C = 1.5

The equation that relates the two values is <em>p </em>= 1.5×s

6. For the apples to price relationship, we have;

$\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}$

Therefore;

p ∝ a

p = C × a

C = p/a

Plugging in the values gives;

C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99

The constant of proportionality, C = 1.99

Therefore, the equation relating the two values is p = 1.99 × a

7. The given data is presented in a tabular form as follows;

$\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}$

A set of data is proportional or has a proportional relationship if their <em>x</em>, and therefore, y-intercept is (0, 0)

From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship

8. The given data is presented in a tabular form as follows;

$\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}$

From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship

Learn more about proportional relationships here;

brainly.com/question/24289972.

5 0

3 years ago

Which if the filleing equations correctly represents solving q=60-4p for p.

marusya05 [52]

Since no equations were provided, the solution of the equation will depend on the values of p.

<h3>What is the solution of an equation?</h3>

The solution of an equation is the value that makes that equation true.

Given the equation q = 60 - 4p

The solution of the equation will depend on the value of p

For example; if p = 1

q = 60 - 4(1)

q = 56

Therefore, the solution of the equation will depend on the values of p.

learn more about equations at: brainly.com/question/22688504

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3 years ago

What is the common ratio of this geometric sequence? 5, 10, 20, 40, 80.

zmey [24]

Note that multip. 10 by 2 results in 20; mult. 20 by 2 results in 40, and so on. So the common ratio is 2.

8 0

3 years ago

Maria needs to reach a window that is eight feet above the ground. When she placed a ladder so that it reached the bottom of the

mr_godi [17]

Answer:

10 feet

Step-by-step explanation:

Given that the distance to be reached is 8 feet above ground and she she placed a ladder so that it reached the bottom of the window, the base of the ladder was 6 feet from the house, the length of the ladder considered with the other lengths forms a right angled triangle.

The length of the ladder represents the hypotenuse side hence using pythagoras theorem

F^2 = 8^2 + 6^2

where F is the length of the ladder in feet

F^2 = 64 + 36

= 100

find the root of both sides

F = 10 feet

The ladder is 10 feet long

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3 years ago

The trapezoid shown is divided into a right triangle and a rectangle. Write an expression that you could use to find area of the

Aleks [24]

I dont know the figure confuses me sorry

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