Modeling with Functions

Lesson 3.4

Construct Functions to Model Linear Relationships​

By Reed Carbone

What formula do we know models a line?

Slope Intercept Form: y = mx + b

m = slope (constant rate of change)

b = y intercept​

Subject | Subject

Some text here about the topic of discussion

​Use the points to create an equation of a line:

(1,2) (5,6)​

Multiple Choice

What is the equation of a line using the points (3,5) and (2,6)?

• y = 3x + 5

• y = 2x + 6

• y = -x + 8

• y = -x + 6

​What is the equation of a line that passes through the point (4.5,-4.25) with y-intercept 2.5?

Multiple Choice

A line passes through the points (5,-7.5) and has y intercept 10. What is the equation of the line?

• y = -3.5x + 10

• y = 5x + 10

• y = -7.5x + 10

• y = 5x - 10

Multiple Choice

What is the equation of a line with point (5,2) and slope 3?

• y = 5x + 2

• y = 3x + 2

• y = 3x + 5

• y = 3x - 13

​A car moving at a constant speed passes a timing device at t=0. After 8 seconds the car has traveled 840 feet. Write an equation of this in slope intercept form:

Multiple Choice

At time t = 0, water begins to drip out of a pipe into an empty bucket. After 56 minutes, 8 inches of water are in the bucket. Write an equation for this in slope intercept form.

• y = 56x + 8

• y = 8x + 56

• y = $$\frac{1}{7}$$  x

• y = 7x

​Create an equation from the graph:

​Conclusion: Write two complete sentences about what you learned.

​Rate Yourself:

​​4: I understood this so well, I knew how to do the problems without Mr. Carbone teaching me how to do them.

3: I did pretty well on this assignment, after Mr. Carbone taught me how to do it I had very few errors.

2: I did ok on this assignment, I had errors finding my answers, but after seeing the teacher do it I could recreate their work.

1: I did not follow on this assignment. Without Mr. Carbone showing me every step I would not be able to solve these problems.