Linear Representations Worksheet

The table below shows the cost of different numbers of goldfish at a pet store. The cost is a linear function of the number of goldfish. Which statement describes the rate of change of this function?

• The cost increases $0.30 each time 1 goldfish is added.

• The cost increases $1.50 each time 1 goldfish is added.

• The cost increases $3.00 each time 5 goldfish are added.

• The cost increases $6.00 each time 5 goldfish are added.

The cost to rent a paddleboat at the city park includes an initial fee of $7.00, plus $3.50 per hour. Which equation models the relationship between the total cost, y, and the number of hours, x, that the paddleboat is rented?

• y = 3.5x + 7

• y = 7x + 3.5

• y = x/7 + 3.5

• y = x/3.5 + 7

The relationship between temperature in degrees Fahrenheit and degrees Celsius is shown in the graph below. What is the meaning of the y-intercept?

• the change in degrees Fahrenheit for every change of one degree Celsius

• the change in degrees Celsius for every change of one degree Fahrenheit

• the temperature in degrees Fahrenheit when the temperature is zero degrees Celsius

• the temperature in degrees Celsius when the temperature is zero degrees Fahrenheit

What is an equation for the line that passes that passes through the points (1,1) and (3,5)?

• y = x + 2
• y = 1x -2
• y = 2x + 1
• y = 2x - 1

When given two points and asked to write an equation, what is your first step?

• Find the slope
• Find the y-intercept
• Find the x-intercept
• Write the equation

Write the an equation for the graph shown.

• y = -2x + 2
• y = 2x + 2
• y = 1/2x- 2
• y = -1/2x + 2

What is the function of the table?

• y=3x+1
• y=4x-2
• y=x+1
• y=x+7

Write the equation of a line that passes through the point (1,4) and has a slope of 9.

• y= 9x-4
• y= 9x-5
• y= 9x+4
• y= 9x+5

Find the slope of the line that passes through:
(10, 1) and (5, 2)

• 1/5
• -1/5
• 5
• -5

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for it phone service. Which equation can be used to find c, the total cost for one month when m, minutes are used?

• c = 0.12m + 8m

• c = 8m + 0.12m

• c = 0.12m + 8

• c = 0.20m