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In this lesson, we will learn how to write 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 π₯ and π¦ .

Q2:

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

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.

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?

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?

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?

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?

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