Question

Two friends, Annabelle and Austin, took summer jobs. The equation y=16.9xy=16.9x represents Austin's earnings in dollars and cents, yy, for working xx hours. The table below represents Annabelle's earnings in dollars and cents, yy, for working xx hours.

Answer 1

The proportional relationship is given by y = 16.9x

Two variables are said to be proportion if an increase/decrease in one variable causes an increase/decrease in the other variable.

Let x represent the hours and y represent the earnings in dollars.

Since x and y are proportional, hence:

y ∝ x

y = kx

Where k is the constant of proportionality.

Since from the equation, k = 16.9m hence, the relationship is given by:

y = 16.9x

The proportional relationship is given by y = 16.9x

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