Use the graph to answer the question.

Write the equation of the line shown in the graph in slope-intercept form.

A coordinate plane going from negative 10 to 10 in increments of 1 labeled every 5 units on the x- and y-axes.

(1 point)
The equation in slope-intercept form is $$
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Remaining Attempts : 3
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7 answers

To write the equation of a line in slope-intercept form, you need to identify two key components: the slope (m) and the y-intercept (b). The slope-intercept form is expressed as:

\[ y = mx + b \]

  1. Identify the Slope (m):

    • The slope is calculated as the "rise over run." To find the slope between two points on the line, use the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
  2. Identify the Y-Intercept (b):

    • The y-intercept is the point where the line crosses the y-axis (where \(x = 0\)). Read the value of \(y\) at this point from the graph.
  3. Write the Equation:

    • Once you have both the slope and the y-intercept, substitute \(m\) and \(b\) into the slope-intercept form to get the equation.

Since I don't have access to the graph you are referring to, you would need to determine the slope and y-intercept based on the specific line shown on your graph. If you provide the coordinates of at least two points on the line, I could help you calculate the slope and write the equation.

May wants to assess her clients' stock portfolio performance. She reads that the average portfolio value for individuals aged 35 to 44 is about $97,000. She determines the average portfolio value for 15 of her clients within this age group is roughly $140,000. Which of the following statements BEST describes May's findings?

Her findings are ir/relevant and/but in/significant (4 choices)

To analyze May's findings about her clients' stock portfolio performance, we can evaluate the relevance and significance of the average portfolio values she observed compared to the average for the age group.

  1. Relevance: May's findings are relevant because she is comparing her clients’ average portfolio value of $140,000 to the average portfolio value of $97,000 for individuals aged 35 to 44. This comparison is useful for understanding how her clients' portfolios stack up against the general population of that age group.

  2. Significance: The average portfolio value of her clients ($140,000) is significantly higher than the average for the age group ($97,000). The difference suggests that May's clients may have a stronger portfolio performance compared to the average individual in the same age group.

Based on this analysis, the best statement to describe May's findings would be:

Her findings are relevant and significant.

Feel free to ask if you have further questions or need clarification!

Gray wants to better understand employee satisfaction at his company. He reads an article that includes this pie chart. He surveys his employees about their satisfaction with their pay and learns that 85% of them are satisfied. How can Gray refine his original research question to get results more like the pie chart?

To refine Gray's original research question to align more closely with the data presented in the pie chart, he should consider broadening the scope of his inquiry beyond just pay satisfaction. The pie chart likely includes various factors related to employee satisfaction, such as work-life balance, benefits, work environment, relationship with coworkers, and overall job satisfaction.

Instead of focusing solely on pay, Gray can create a more comprehensive survey question. Here are a couple of suggestions for refining his research question:

  1. Original Research Question:

    • "How satisfied are employees with their pay?"
  2. Refined Research Question:

    • "How satisfied are employees with various aspects of their job, including pay, benefits, work-life balance, and workplace environment?"

By broadening the question, Gray can gather a more holistic view of employee satisfaction. This will allow him to analyze satisfaction across multiple dimensions, making his findings more comparable to the insights conveyed in the pie chart. Additionally, he could also frame it to include specific options representing different satisfaction categories, similar to those in the pie chart.

Example Refined Question:

  • "On a scale of 1 to 10, how satisfied are you with the following aspects of your job: pay, benefits, work-life balance, company culture, and career growth opportunities?"

This approach will help Gray better understand employee satisfaction as depicted in the pie chart.

Gray wants to better understand employee satisfaction at his company. He reads an article that includes this pie chart. He surveys his employees about their satisfaction with their pay and learns that 85% of them are satisfied. How can Gray refine his original research question to get results more like the pie chart?

"Are you paid fairly? If not.... [finish the sentence]"

To refine Gray's original research question so it aligns better with the broader aspects of employee satisfaction, he can structure the question to gather insights not only about pay but also about various factors that contribute to overall employee satisfaction.

Here's a possible completion for the survey question:

“Are you paid fairly? If not, what other factors contribute to your overall job satisfaction? Please rank the following aspects: benefits, work-life balance, career growth opportunities, work environment, and relationship with colleagues.”

This formulation encourages employees to think about their satisfaction in a more holistic manner and allows Gray to collect data that relates to the categories likely represented in the pie chart from the article. By combining the fairness of pay with other essential elements of job satisfaction, Gray will achieve a more comprehensive understanding of employee sentiment.