Connecting Linear Models

The ordered pair (3, 5) represents a point on the graph of a proportional relationship. Which two ordered pairs could represent other points on the graph of the proportional relationship?

Select TWO correct answers.

• (0,0)

• (6,0)

• (0,3)

• (6,10)

• (6,7)

The total profit from the choir class fundraiser varies directly with the number of carnival tickets sold. The sale of 22 tickets results in a profit of $198.

 

How many tickets must be sold to reach the fundraising goal of $585?

Triangles ABC and CDE are similar right triangles. Which proportion can be used to show that the slope of AC is equal to the slope of CE?

Which statement below accurately represents the graph?

• $100 is earned for each hour worked

• $100 is earned for every 2 hours worked

• $500 is earned for every 8 hours worked

• $200 is earned for every 3 hours worked

A DJ charges a setup fee plus an hourly fee to provide music for a dance party. Use the graph to write an equation in slope-intercept form to represent the amount spent, y, on x hours of music. 

• y = 75x + 100

• y = 100x

• y= 100x + 75

• y = 75x

Identify the slope and y-intercept of:
y = 1/2x - 1

• slope: 1/2   y-intercept:  -1 

• slope: 2/1   y-intercept:  -1

• slope: 3   y-intercept:  -3 

• slope: 2  y-intercept:  5 

A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?

• y=2x+7

• y=-2x+7

• y=2-7x

• y=7x+2

Which statement best describes "m"?

• x- intercept

• y - intercept

• slope

• bee

The GPA of a student can be predicted using the equation
y = 1.4 x + 1.4  where x is the hours the student spends studying.  What is the expected GPA of a student that spends no hours studying?

• 2.4

• 1.4

• not enough information

• 2.8

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 0.20x + 15

• C =15 (0.20x)

• C = 15 + x + 0.20

• C = 0.20 + 15x