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Worksheet: Proportional Equations

Q1:

For the following table, find the algebraic equation that shows the proportional relationship between ๐‘ฅ and ๐‘ฆ .

๐‘ฅ 6 7 8
๐‘ฆ 12 14 16
  • A ๐‘ฆ = 6 ๐‘ฅ
  • B ๐‘ฅ = 2 ๐‘ฆ
  • C ๐‘ฅ = 6 ๐‘ฆ
  • D ๐‘ฆ = 2 ๐‘ฅ
  • E ๐‘ฅ = ๐‘ฆ

Q2:

Determine the four proportional numbers of which the fourth proportional equals the square of the second, the first is less than the second by 1, and the third is 72.

  • A 8 , 9 , 7 2 , 1 8 or โˆ’ 9 , โˆ’ 8 , 7 2 , โˆ’ 1 6
  • B 1 0 , 9 , 7 2 , 8 1 or โˆ’ 7 , โˆ’ 8 , 7 2 , 6 4
  • C 1 0 , 9 , 7 2 , 1 8 or โˆ’ 7 , โˆ’ 8 , 7 2 , โˆ’ 1 6
  • D 8 , 9 , 7 2 , 8 1 or โˆ’ 9 , โˆ’ 8 , 7 2 , 6 4

Q3:

For the following coordinate plane, determine the total number of proportional relatoinships shown.

Q4:

The graph shows the amount of saturated fat contained in a given mass of butter.

A 100 g portion of olive oil contains 14 g of saturated fat. Which contains a larger proportion of saturated fat, butter or olive oil?

  • Abutter
  • Bolive oil

Q5:

Select the graph that shows a proportional relationship.

  • A
  • B
  • C
  • D
  • E

Q6:

For every three dishes Isabella cleans, Emma cleans five. This represents a proportional relationship. Which of the following equations can be used to determine how many dishes Emma cleans if Isabella cleans 38?

  • A ๐‘ฅ 3 = 3 8 5
  • B 3 5 = ๐‘ฅ 3 8
  • C ๐‘ฅ 5 = 3 3 8
  • D 3 5 = 3 8 ๐‘ฅ

Q7:

It takes Teresa 8 minutes to fill her 60-liter bathtub from a single faucet. Which of the following lines represents the volume of water she gets from her faucet against the time during which the faucet is open?

  • Athe black one
  • Bthe blue one
  • Cthe orange one
  • Dthe green one

Q8:

Jennifer plotted the distance, in miles, she cycled against the time, in hours, on her last ride and drew a line of best fit. Her friend Benjamin says that to estimate the distance in miles he covers in a given number of hours, he uses the equation ๐‘‘ = 1 5 ๐‘ก .

Who is the faster cyclist?

  • AJennifer
  • BBenjamin