what is the rate of change for the linear relationship modeled in the table? x y −1 10 1 9 3 8 5 7 -1/2 0 1/2 2

Answers

Answer 1

Answer:

Answer:

Rate of change for the linear relationship modeled is $(-1)/(2)$

Step-by-step explanation:

As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.

We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

$m=(y_2-y_1)/(x_2-x_1)$

Putting the points as (-1, 10) and (1, 9), we get

$m=(9-10)/(1-(-1))$

$=(9-10)/(1+1)$

$=(-1)/(2)$

Rate of change is the slope of the line joining all these points.

Answer 2

Answer: (-1,10)(1,9)
slope = (9 - 10) / (1 - (-1)
slope = -1/2 <=== slope is also ur rate of change

Related Questions

Which of these fractions is a recurring decimal?A - 10/16 B - 39/130 C - 28/35 D - 15/17 E - 13/52
Tiffany pays $40 for 160 minutes of talk time on her cell phone. Hpw how many minutes of talk time does she get per dollar?
Find the quotient by doing long division and show work
Zoya has to earn at least $300 to meet her fundraising goal. She has only 100 bracelets that she plans to sell at $5 each. Which inequality shows the number of bracelets, x, Zoya can sell to meet her goal?
(3) - 4/5 (5) + 2/9 - 2/3 (3) - 1/5 (5)

If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years?
A. $5,805.96
B. $6,502.34
C. $6,584.91

Answers

Amount earned in compound interest = P(1 + r)^n; where P is the principal, r is the rate and n is the number of periods.

Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Principal amount = $3000

Rate of interest = 14%

Time period = 6 years

As we know the formula for "Compound Interest " :

$Amount=P(1+(R)/(100))^n\n\nAmount=3000(1+(14)/(100))^6\n\nAmount=3000(1+0.14)^6\n\nAmount=3000(1.14)^6\n\nAmount=3000* 2.194\n\nAmount=\$6584.91$

Hence, Option 'C' is correct.

An airplane over the Pacific Ocean sights an atoll at an 7° angle of depression. If the plane is 663 m above the water, how many kilometers is it from a point 663 m directly above the atoll?(Hint: Make sure your calculator is in degrees!)A. 5399.7 km
B. 5.4 km
C. 81.41 km
D. 760.8 km

Answers

You need to draw the diagram to understand the problem easily. Teh diagram will show the right triangle, acute angle with the base 7º, height is 663 m, and "x" is the base of the triangle.

using the tangent ratio:

tanΘ = opposite / adjacent

tan7º = 663 m / x

x = 663 m / tan7º
x = 5,399.7 m

change m to km. 1,000 m = 1km

5,399.7m * 1km/1,000 m = 5,399.7 km/1000 = 5.3997 km or 5.4 km

B. 5.4 km

What is the degree of the monomial 5x^12

Answers

The degree would be 12 because whatever value is in the exponent position is the degree

It would be 12, because degrees are identified by the exponent of a term

Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point?A.–12
B.–1
C.5
D.7

Answers

Answer:

Option B. -1

Step-by-step explanation:

Brandie lives on the twelfth floor of her apartment building.

She walks down 2 flights to visit a friend = 12 - 2 = 10th floor

Then up 3 flights to deliver a message to a neighbor = 10 + 3 = 13th floor

Now Brandie walk to get back to her starting point that is 12th floor, she must walks down 1 flight.

So the answer would be option 'B' -1

B.-1 because she started on the twelfth floor she walks down 2=10 and then back up 3=13 so she has walk down 1 flight to get back.

Discuss the impact of risky behaviour on an individual and community at large

Answers

Answer:

Risky behavior refers to actions or decisions that have the potential to lead to negative outcomes or harm, either to oneself or to others. Such behavior can encompass a wide range of activities, including substance abuse, reckless driving, unsafe sexual practices, and engagement in criminal activities. The ramifications of risky behavior are multifaceted and can extend beyond the individual to impact the community at large. This discussion will delve into the consequences of risky behavior on both individuals and communities, highlighting the social, economic, and public health implications.

Impact on Individuals:

Risky behavior can have profound effects on the individuals involved. Physical and mental health risks are prevalent outcomes. For instance, substance abuse can lead to addiction, deteriorating health, and increased susceptibility to chronic diseases. Engaging in unsafe sexual practices can result in sexually transmitted infections and unintended pregnancies. Reckless driving might lead to severe injuries or fatalities. Moreover, risky behavior can exacerbate mental health issues, causing stress, anxiety, and depression due to the potential for adverse consequences and legal ramifications.

Impact on Communities:

The impact of risky behavior extends beyond the individual, affecting the community as a whole. One of the most prominent consequences is the strain on healthcare systems. Increased cases of injuries, illnesses, and mental health disorders stemming from risky behavior place additional burdens on healthcare facilities, leading to increased healthcare costs and resource allocation challenges. This, in turn, can lead to reduced quality of care for other community members.

Economically, risky behavior can result in significant financial burdens. For example, accidents caused by reckless driving can lead to property damage and medical expenses, burdening insurance companies and public resources. Criminal activities associated with risky behavior, such as theft or vandalism, can decrease property values and deter investment in the affected areas, ultimately impacting the economic vitality of the community.

From a social perspective, risky behavior can contribute to the erosion of social cohesion and trust within the community. Instances of criminal behavior or substance abuse can create feelings of insecurity and fear among residents. Additionally, the resulting strain on families and social networks due to the consequences of risky behavior can lead to breakdowns in relationships and support systems, further destabilizing the community fabric.

Public Health Implications:

Risky behavior also has significant public health implications. The spread of diseases, particularly through unsafe sexual practices or intravenous drug use, can lead to epidemics or localized outbreaks. This poses challenges for public health authorities in terms of disease prevention, containment, and treatment.

To mitigate the impact of risky behavior on individuals and communities, comprehensive strategies are required. These strategies could include educational campaigns aimed at raising awareness about the consequences of risky behavior, promoting healthy alternatives, and providing individuals with the necessary skills to make informed decisions. Furthermore, community-based support systems, access to mental health services, and rehabilitation programs can assist individuals in overcoming risky behavior patterns.

In conclusion, risky behavior has far-reaching implications, affecting not only the individuals engaging in such behavior but also the communities they are a part of. The physical, mental, economic, and social consequences underscore the importance of addressing risky behavior through holistic approaches that encompass education, healthcare, and community engagement. Efforts to curb risky behavior contribute not only to individual well-being but also to the overall health and vitality of communities.

Step-by-step explanation:

If JK = 4, KL = 3x, and JL = 7x, what is JL? Simplify your answer and write it as a proper fraction, mixed number, or integer.

Answers

Answer:

JL = 7

Step-by-step explanation:

If JK = 4, KL = 3x, and JL = 7x, what is JL?

From the diagram given in tbe question,

JK + KL = JL

4 + 3x = 7x

Collect like terms

4 = 7x - 3x

4 = 4x

4x = 4

x = 4/4

x = 1

Since JL from the diagram = 7x

Hence:

7 × 1 = 7

JL = 7

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