2 Pull It All Together

BIG idea Equivalence

You can represent a function with many different equivalent equations.

Task 1

The graph represents a function.

1. Write the equation for the graph in standard form, point-slope form, and slope-intercept form.

2. Which equation is the easiest to write by looking at the graph? Explain why.

   

BIG idea Modeling

You can use scatter plots to model, analyze, and make predictions about certain kinds of data.

Task 2

The table below shows the boiling point of water at various elevations.

1. Identify the independent and dependent quantities. Explain your choices.
2. Make a scatter plot that models this data.
3. Determine what kind of correlation is shown in your plot.
4. Write an equation of the line of best fit.
5. Use your equation to predict the temperature at which water boils at 8000 feet above sea level.
6. At what elevation would you expect water to boil at 207°F?

Task 3

Consider the following data: (2, 1), (4, 3), (5, 5), (7, 6), (3, 18).

1. Exclude (3, 18) and draw a trend line for the rest of the data.
2. Use a graphing calculator to find the line of best fit for all of the points.
3. Which linear model does a better job predicting most of the values? Explain.

Table of Contents