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Name Date Linear Functions Unit Portfolio Directions Complete each of the tasks outlined below. Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven. Pick a U.S. city and research the rates of two different cab companies in that city. Find companies that charge different amounts per mile and have different flat fees. If you have trouble finding this information for two companies you can make up what you think would be reasonable prices for a cab s flat rate and a cab s rate per mile. Task 1 a* For the first company express in words the amount the cab company charges per ride and per mile. b. Write an equation in slope-intercept point-slope or standard form* Explain why you chose the form you did* c* What do the slope and y-intercept mean in the context of this problem Hint What do you pay when you step into the cab Task 2 For the second company express in a table the cost of the cab ride given the number of miles provided* Numbe....

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How to fill out the Linear Functions Unit Portfolio online

This guide provides detailed instructions on completing the Linear Functions Unit Portfolio online. By following these steps, users can effectively input their responses for each task and submit the form successfully.

Follow the steps to complete your portfolio accurately.

  1. Press the ‘Get Form’ button to access the form and open it in the editor.
  2. Begin with Task 1: Choose a U.S. city and find the rates of two different cab companies. If you have difficulty finding the rates, you may create reasonable estimates for the flat fees and per mile charges. Provide a written expression for the first company’s charges and write an equation in the selected form. Explain your choice.
  3. For the first company, describe what the slope and y-intercept represent within this context. Consider what you pay when you enter the cab.
  4. Move on to Task 2: For the second cab company, express the cost of a cab ride as a table based on the number of miles. Complete the table with values for 0 to 5 miles.
  5. Write an equation in a slope-intercept, point-slope, or standard form. Provide justification for your choice and explain the meaning of the slope in this scenario.
  6. Proceed to Task 3: Conduct research on average gas prices from 2005 to 2015 for the selected city. If this is not feasible, use national averages.
  7. Create a table reflecting the average gas prices for each year and then generate a scatter plot based on this data.
  8. Determine an equation that models the gas price data. Identify the domain and range of this equation and discuss the fit of the model to the data.
  9. Analyze trends in the gas price data. Discuss whether there is a positive, negative, or nonexistent correlation and predict the gas price for 2020, providing reasoning for your prediction.
  10. Once all tasks are completed, review your entries, save any changes made, and then download, print, or share your portfolio as necessary.

Start completing the Linear Functions Unit Portfolio online today!

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In Mathematics, a linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to the straight line.

First, find the y-intercept (b), which is the point where the line crosses the y-axis. Next, choose two points on the graph and find the slope (m) using the formula. Finally, write the equation of the line using y = mx + b.

In mathematics, linear relationships can be modeled using functions in the form y = mx + b, where m represents the slope and b represents the y-intercept. By plugging in different x values, corresponding y values can be generated and plotted on a graph.

Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.

Using a Given Input and Output to Build a Model Identify the input and output values. Convert the data to two coordinate pairs. Find the slope. Write the linear model. Use the model to make a prediction by evaluating the function at a given x-value. Use the model to identify an x-value that results in a given y-value.

Using the slope-intercept form: If you have a table of x and y values, you can use the slope-intercept form (y = mx + b) to find the equation for x. You can use the two points to find the slope (m) and the y-intercept (b) of the line.

What is the formula for linear model? The formula for a linear model is y=mx+b. The y represents the output value, the m represents the rate of change, the x represents the input value, and the b represents the constant.

A linear function can be modeled by determining the difference between any two consecutive values. This is the difference by which the value of the function change. This difference can also be used to determine the initial value upon which the changes happens.

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