Worksheet: Proportional Equations

In this worksheet, we will practice writing an equation to describe the relationship of data in a table.

Q1:

For the following table, find the algebraic equation that shows the proportional relationship between 𝑥 and 𝑦 .

𝑥 6 7 8
𝑦 12 14 16
  • A 𝑦 = 6 𝑥
  • B 𝑥 = 2 𝑦
  • C 𝑥 = 6 𝑦
  • D 𝑦 = 2 𝑥
  • E 𝑥 = 𝑦

Q2:

Which of the below represents the percentage of 74 commuters from 430 commuters?

  • A 𝑛 = 0 . 7 4 × 4 3 0
  • B 𝑛 = 7 4 × 4 . 3
  • C 𝑛 = 7 4 × 4 3 0
  • D 7 4 4 3 0 = 𝑛 1 0 0
  • E 4 3 0 7 4 = 𝑛 1 0 0

Q3:

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

Q4:

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

  • A 𝑥 3 = 3 8 5
  • B 3 5 = 𝑥 3 8
  • C 𝑥 5 = 3 3 8
  • D 3 5 = 3 8 𝑥

Q5:

Hagar 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 Mahmoud says that to estimate the distance in miles he covers in a given number of hours, he uses the equation .

Who is the faster cyclist?

  • AHagar
  • BMahmoud

Q6:

It takes Teresa 8 minutes to fill her 60-litre bath from a single tap. Which of the following graphs represents the volume of water she gets from her tap against the time during which the tap is open?

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

Q7:

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

Q8:

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

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