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(0, 50), (2, 40), (4, 30), (6, 20), (8, 10)
5. Using the equation of a line, what is the
algebraic formula of this demand curve?

Answers

Answer 1

Based on the given points, the equation of the demand curve is:

y = -5x + 50

Where:

y = price

x = quantity demanded

We can find the equation of the line using the slope-intercept form:

y = mx + b

The slope (m) is rise over run, which is (50 - 10) / (0 - 8) = -5

The y-intercept (b) is the y-value when x = 0, which is 50.

So plugging into the slope-intercept form, we get:

y = -5x + 50

Answer 2

The algebraic formula of this demand curve is y = -5x + 50.

To find the algebraic formula of the demand curve, we can use the equation of a straight line, which is given by:

y = mx + b

where "y" represents the dependent variable (demand in this case), "x" represents the independent variable (price), "m" represents the slope of the line, and "b" represents the y-intercept.

Using the given points (0, 50), (2, 40), (4, 30), (6, 20), and (8, 10), we can determine the slope (m) and the y-intercept (b) to form the equation.

First, let's calculate the slope (m) using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Taking the points (0, 50) and (8, 10):

m = (10 - 50) / (8 - 0)

m = -40 / 8

m = -5

Next, we can use the slope and any of the given points to find the y-intercept (b). Let's use the point (0, 50):

y = mx + b

50 = (-5)(0) + b

50 = b

Now we have the slope (m = -5) and the y-intercept (b = 50). Plugging these values into the equation, we get:

y = -5x + 50

This equation represents a linear demand curve with a negative slope, indicating an inverse relationship between price (x) and demand (y).

As the price increases, the demand decreases linearly.

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Related Questions

Which detail should be included in a summary of this excerpt Mrs.march says has a surprise Jo tosses her napkin in the air Mrs.march says the letter is long Jo thinks Amy takes to long to eat

Answers

It should be included in a summary of this excerpt Option D. Jo thinks Amy takes too long to eat.

In this excerpt from Little Women, the March family is gathered around the table when Mrs. March announces that she has a treat for them after supper. The mention of a treat brings smiles and excitement to everyone, including Beth, who claps her hands, and Jo, who tosses her napkin in the air with joy.

Mrs. March reveals that the treat is a long letter from their father, who is well and expects to get through the cold season better than anticipated. The letter contains loving wishes for Christmas and has a special message for the girls.  Mrs. March pats her pocket as if she's holding a treasure, emphasizing the importance of the letter.

Jo, eager to read the letter, urges everyone to finish their meal quickly and not waste time. This detail highlights Jo's impatience and eagerness to hear from her father. Therefore, the detail that should be included in a summary of this excerpt is that Jo thinks Amy takes too long to eat. Therefore, the correct option is D.

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The question was incomplete, Find the full content below:

Read the excerpt from Little Women.

As they gathered about the table, Mrs. March said, with a particularly happy face, “I’ve got a treat for you after supper.”

A quick, bright smile went around like a steak of sunshine. Beth clapped her hands, regardless of the biscuit she held, and Jo tossed up her napkin, crying, “A letter! A letter! Three cheers for Father!”

“Yes, a nice long letter. He is well and thinks he shall get through the cold season better than we feared. He sends all sorts of loving wishes for Christmas, and an especial message to you girls,” said Mrs. March, patting her pocket as if she had got a treasure there.

“Hurry and get done! Don’t stop to quirk your little finger and simper over your plate, Amy,” cried Jo, choking on her tea and dropping her bread, butter side down, on the carpet in her haste to get at the treat.

Which detail should be included in a summary of this excerpt?

A. Mrs. March says she has a surprise.

B. Jo tosses her napkin in the air.

C. Mrs. March says the letter is long.

D. Jo thinks Amy takes too long to eat.

A government in which powers are divided between central and state governments, and the authority for both is ultimately derived from the people BEST describes which of the following

Answers

Answer:federalism

Explanation:

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