An audio books club charges an initial joining fee of $20.00. The cost per audio book is $15.00. The graph shows the cost of belonging to the club as a function of audio books purchased. How will the graph change if the cost per audio book goes up by $1.00?
(The new function is shown by the dotted line.)

An Audio Books Club Charges An Initial Joining Fee Of $20.00. The Cost Per Audio Book Is $15.00. The

Answers

Answer 1

Answer:

The graph will change by simply having an increased slope of 16 instead of 15.

Step-by-step explanation:

For this problem, we will consider the initial case as stated by the problem where the joining fee is $20 and each book is $15.  Let x represent the number of books that we have purchased.  Then, we can write the following function to represent the cost of this club.

f(x) = 15x + 20

Note, if x = 0, meaning we have no books, then

f(0) = 15(0) + 20

f(0) = 0 + 20

f(0) = 20

Which is the cost of our joining fee.  If x = 1, meaning we have 1 book, then

f(1) = 15(1) + 20

f(1) = 15 + 20

f(1) = 35

Which is the cost of our joining fee and 1 book, which matches our graphed function.

Now, let's consider that the cost of the book is $16 instead of $15 ("the cost per audio book goes up by $1.00").  Then we can modify the slope of our function to reflect this change giving us the new function:

g(x) = 16x + 20

In this new function, our slope increased from 15 to 16, to account for the increase in cost, but our initial 20 remained the same.

So the graph will change by simply having an increased slope of 16 instead of 15.

Cheers.

Answer 2

Answer:

The new function will have a steeper slope, so...

Step-by-step explanation:

Le: t  x ----> the number of audio books purchased

y ---->the cost of belonging to the club in dollars

case 1 (Originally) :

y = 15x + 20

case 2 ( the cost per audio book goes up by $1.00) :

y= (15+1)x+ 20

y = 16x + 20

The slope of the new function is greater than the slope of the original function    

The new function will have a steeper slope:

16  $/ audio book > 15 $/audio book


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Answer:

Answer:

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

First, we will use elimination to solve for y.

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Now, we will use what we got for y to solve for x.

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Answer:

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The steps for construction;

Using a ruler draw line AB 4 inches  and label the end points A and BAt point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inchesMark that point C.Using the ruler, join point C and B and measure BC.

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Answer:

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Step-by-step explanation:

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Answers

The question is incomplete, the complete question is;

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Answer:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Answer:

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Answer:

1. 5m+4=7m+6

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5m+4−7m=7m+6−7m

−2m+4=6

Step 2: Subtract 4 from both sides.

−2m+4−4=6−4

−2m=2

Step 3: Divide both sides by -2.

[tex]\frac{-2m}{-2} = \frac{-2}{2}[/tex]

m=−1

_______________________________

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Subtract 2x from both sides.

−5x+3−2x=−1

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−7x+3=−1

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−7x=−1−3

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−7x=−4

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_____________________________

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___________________________

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Subtract 42y from both sides.

53y−55−42y=0

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11y−55=0

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Answer:

$200

Step-by-step explanation:

$200

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Answer:

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Answers

Answer:

-9,11

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Answer:

(-9,11)

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Step-by-step explanation:

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gfbngfjhbfgnbfhbnng

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Answer:

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Step-by-step explanation:

GIVING BRAINLIEST

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Answers

Answer:

No this statement is not correct.

Step-by-step explanation:

The definition of congruent triangles are triangles with equal side lengths and equal angles. As we can see in the picture, one triangle is significantly larger than the other, so in conclusion, the statement is incorrect.

By basic definition of congruent triangles we can say that the statement

"triangle JOL and IOM and congruent triangles" is false

what are congruent triangles?

Triangle with same shape and same size are known as congruent triangle .Corresponding sides and angles of congruent triangles are equal .

Here in the given diagram it is clearly visible that size of triangle IOM and JOL is not same so they can't have same length of sides ,although corresponding angles are equal because of properties of parallel lines but for congruent triangles it's necessary that both corresponding sides and angle are equal .

By basic definition of congruent triangles we can say that the statement

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To learn more about congruent triangles visit :https://brainly.com/question/2938476

Arnold has $24 to spend at the movies. His ticket is $12. He bought popcorn, candy bar, and soda. Popcorn is double the prize of the soda. The soda and candy bar are same prize. How much did he pay for the soda?

Answers

Given:

Arnold has $24 to spend at the movies.

Ticket = $12

Popcorn is double the price of the soda.

The soda and candy bar are same price.

To find:

The price for the soda.

Solution:

Let x be the price of soda.

According to the question,

Price of candy = Price of soda = x

Price of popcorn = 2(price of soda) = 2x

Total amount = Ticket + Popcorn + Soda + Candy

[tex]24=12+2x+x+x[/tex]

[tex]24=12+4x[/tex]

[tex]24-12=4x[/tex]

[tex]12=4x[/tex]

Divide both sides by 4.

[tex]\dfrac{12}{4}=x[/tex]

[tex]3=x[/tex]

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