IDENTIFYING THE DIRECT AND PARTIAL VARIATION WORKSHEET

Identify each relation as direct variation, a partial variation or neither.

Problem 1 :

y = 3x

Solution

Problem 2 :

y = 2x + 1

Solution

Problem 3 :

a)  Compete the table of values given that y varies partially with x.

b) Identify the initial value of y and the constant of variation from the table.

c) Write the equation relating y and x in the form y = mx + b.

Solution

Problem 4 :

A small pizza costs $7 plus $1.50 per topping.

a) Identify the fixed cost and variable cost of this partial variation.

b) Determine the equation relating the cost C and the number of topping n.

c) Use the equation to determine the cost of a small pizza with five toppings.

Solution

Problem 5 :

A class is planning a field trip to an art gallery. The cost of renting bus is $250. There is an additional cost of $4 per student for the entrance fee.

a) Identify the fixed cost and the variable cost of this partial variation.

b) Write and equation relating cost C, in dollars, the number of students n.

c) Use the equation to determine the total cost if 25 students attend.

Solution

Problem 6 :

The table shows the amount of printing company charges for advertising figures.

a) Identify the fixed cost this company charges for pictures the flyers.

b) Determine the variable cost of producing one flyer. 

c) Write the equation representing the price of flyers.

d) How many flyers can be produced for $280 ?

Solution

Problem 7 :

A computer decreases in value over time. The relationship between the value of the computer, v, in dollars after t years is written as the equation v = -300t + 2100. A line representing the relationship is graphed. What does the vintercept of the line represent?

a) The decrease in value per year

b) The initial value of the computer

c) The number of years until the value is $0

d) The number of years the computer will work

Solution