A bakery delivers cookies to offices.

To find the equation representing the total charge in dollars (\(y\)) for a delivery of cookies (\(x\)), we will first create a table using the information given about delivery charges.

We can derive some points from the provided information:

1. For 12 cookies:

   • Total charge \(y = 20\), therefore the point is \((12, 20)\)

2. For 18 cookies:

   • Total charge \(y = 27.50\), therefore the point is \((18, 27.50)\)

3. For 0 cookies (the base case):

   • There is a $5 delivery fee regardless of the number of cookies, which gives us the point \((0, 5)\)

Now we can summarize these points in a table format:

| \(x\) (cookies) | \(y\) (total charge) | |--------------------|------------------------| | 0 | 5 | | 12 | 20 | | 18 | 27.50 |

Now, we have three points: \((0, 5)\), \((12, 20)\), and \((18, 27.5)\).

We can find the slope \( m \) between the points \((12, 20)\) and \((18, 27.5)\) to determine the cost per cookie:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{27.5 - 20}{18 - 12} = \frac{7.5}{6} = 1.25 \]

This means that the cost per cookie is \(1.25\).

Next, we use the concept of linear equations:

The equation can be represented as:

\[ y = mx + b \]

Where:

• \(m\) is the slope (cost per cookie, which we found to be 1.25)
• \(b\) is the y-intercept (the delivery fee, which is $5)

Plugging in the values:

\[ y = 1.25x + 5 \]

Thus, the equation that represents the total charge in dollars (\(y\)) for a delivery of \(x\) cookies is:

\[ \boxed{y = 1.25x + 5} \]

What were some issues on which Hamilton and Jefferson disagreed? Select all that apply.
(1 point)
Responses

the role of the federal government
the role of the federal government

how to structure the judiciary
how to structure the judiciary

imposition of taxes
imposition of taxes

how to structure a banking system

2 of 42 of 4 Items
Question
Which group was primarily associated with the Democratic Republicans?
(1 point)
Responses

wealthy merchants
wealthy merchants

enslaved African Americans
enslaved African Americans

manufacturing leaders
manufacturing leaders

small farmers

Why did political tensions increase after the election of 1796?
(1 point)
Responses

Jefferson lost support from farmers and abandoned his ideals.
Jefferson lost support from farmers and abandoned his ideals.

The elected president and vice president were from opposing parties.
The elected president and vice president were from opposing parties.

Adams was outraged that he did not get to choose his vice president.
Adams was outraged that he did not get to choose his vice president.

Hamilton sided with Jefferson over foreign policy issues.

In his farewell address, what did Washington say about the U.S. forming alliances with specific European countries?
(1 point)
Responses

It would be seen as a sign of disrespect.
It would be seen as a sign of disrespect.

Other countries might also seek to form alliances.
Other countries might also seek to form alliances.

It might put peace and prosperity at risk.
It might put peace and prosperity at risk.

Other countries might boycott exports.
Other countries might boycott exports.

Here are the answers to each of your questions:

1. What were some issues on which Hamilton and Jefferson disagreed?

   • the role of the federal government
   • how to structure a banking system

   Note: While Hamilton and Jefferson may have had views about the judiciary and imposition of taxes, the most notable and defining disagreements centered around the role of the federal government and how to structure the banking system.

2. Which group was primarily associated with the Democratic Republicans?

   • small farmers

3. Why did political tensions increase after the election of 1796?

   • The elected president and vice president were from opposing parties.

4. In his farewell address, what did Washington say about the U.S. forming alliances with specific European countries?

   • It might put peace and prosperity at risk.

Feel free to ask if you need further clarification on any of these points!

The average individual should consume ______ calories on a daily basis.
(1 point)
Responses

1,000
1,000

2,000
2,000

3,000
3,000

5,000

Units measured by the amount of energy released when nutrients are broken down are known as
(1 point)
Responses

metabolism.
metabolism.

calories.
calories.

nutrients.
nutrients.

carbohydrates.
carbohydrates.

It is often hard to practice self-control when eating in the company of others because we are greatly influenced by
(1 point)
Responses

peer pressure.
peer pressure.

environment.
environment.

time.
time.

emotions.

Here are the answers to your multiple-choice questions:

1. The average individual should consume ______ calories on a daily basis.

   • 2,000 (This number is commonly cited as the average daily caloric intake for adults, though individual needs may vary based on factors like age, gender, and activity level.)

2. Units measured by the amount of energy released when nutrients are broken down are known as:

   • calories.

3. It is often hard to practice self-control when eating in the company of others because we are greatly influenced by:

   • environment. (While peer pressure can certainly play a role, the broader term "environment" encompasses various factors, including social settings and cultural norms, that can influence eating behavior.)

If you have any more questions or need further assistance, feel free to ask!

Which is the purpose of writing an argument? (1 point)
Responses

to allow readers to come to their own conclusions about a topic
to allow readers to come to their own conclusions about a topic

to persuade readers to agree with the author's opinion
to persuade readers to agree with the author's opinion

to inform readers about the benefits of a topic
to inform readers about the benefits of a topic

to plan what evidence a reader will want to read on a topic
to plan what evidence a reader will want to read on a topic

Which is important when writing an essay claim?(1 point)
Responses

that the claim is something on which everyone will agree
that the claim is something on which everyone will agree

that the claim states your broad opinion on a topic
that the claim states your broad opinion on a topic

that the claim is generally accepted as true
that the claim is generally accepted as true

that the claim is debatable

Which phrase describes a claim that is "debatable"?(1 point)
Responses

an idea that is open to discussion
an idea that is open to discussion

an idea about a topic that is not grounded in evidence
an idea about a topic that is not grounded in evidence

an idea to be shared in front of a group of people
an idea to be shared in front of a group of people

an idea that can be supported by facts

After writing a broad claim, which is the next step in the process of writing an argument? (1 point)
Responses

research information about the claim
research information about the claim

revise the claim so that it is narrower
revise the claim so that it is narrower

write an outline of the argument
write an outline of the argument

develop a conclusion of the argument

Here are the answers to your questions regarding writing an argument and claims:

1. Which is the purpose of writing an argument?

   • to persuade readers to agree with the author's opinion (The primary purpose of an argument is to convince the audience of the author's point of view on a specific topic.)

2. Which is important when writing an essay claim?

   • that the claim is debatable (A strong claim should invite discussion and have the potential for counterarguments, making it debatable.)

3. Which phrase describes a claim that is "debatable"?

   • an idea that is open to discussion (Debatable claims are those that can be argued for or against, allowing for multiple perspectives.)

4. After writing a broad claim, which is the next step in the process of writing an argument?

   • revise the claim so that it is narrower (Narrowing down the claim helps to make it more specific and manageable, allowing for focused arguments and supporting evidence.)

If you have more questions or need further clarification, feel free to ask!