Linear Relationship Models

The following table shows the height of water in a tank over time.

Which equation models the relationship between the height, y, and hours, x?

• y = 25x

• y = 175 + 25x

• y = 175 - 25x

• y = 175x - 25

True or False: A linear relationship when graphed will be a graph of a "straight" line.

• True

• False

What kind of relationship exists between hours and total cost?

• Only Proportional

• Only Linear

• Linear and Proportional

• Neither Linear nor Proportional

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

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 

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price to ride 10 rides?

• 35

• 21.5

• 30

• 30.50

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

Which statement best describes "b"?

• x-intercept

• y- intercept

• Slope

• Bee

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