The accompanying table shows the relationship between workers€™ hours of work per week and their hourly wage rate. Apart from the fact that they receive a different hourly wage rate and work different hours, these five workers are otherwise identical.

a. Which variable is the independent variable? Which is the dependent variable?

b. Draw a scatter diagram illustrating this relationship. Draw a (non-linear) curve that connects the points. Put the hourly wage rate on the vertical axis.

c. As the wage rate increases from $15 to $30, how does the number of hours worked respond according to the relationship depicted here? What is the average slope of the curve between Athena€™s and Boris€™s data points using the arc method?

d. As the wage rate increases from $60 to $75, how does the number of hours worked respond according to the relationship depicted here? What is the average slope of the curve between Diego€™s and Emily€™s data points using the arc method?

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Quantity of labour (hours per week) Wage rate (per hour) Name $15 Athena 30 Boris 35 30 Chinedu 37 45 Diego 36 60 Emily 32 75