Question

1). Aziz has a job mowing lawns in the summer. The graph below shows the amount of earnings, in dollars, based on the number of lawns Aziz mows. Enter an equation to represent the amount of earnings, e, in dollars, that Aziz makes in terms of the number of lawns, n, that he mows.

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Answer 1

The equation that represents the amount that Aziz earns for the number of lawn he mows is e = 15.875 × n

Explanation:

From the graph, we have;

For the point where n = 4, we have e ≈ 63.5

Therefore, we have;

The slope = Δn/Δe = 63.5/(4) = 15.875

The coordinates of the points plotted on the graph are as follows;

n = 0, e = 0, therefore, the y-intercept is 0, and y = slope × x

n = 1, e = 1 × 0.79375 = 15.875

n = 2, e = 2 × 15.875 = 31.75

n = 3, e = 2 × 15.875 = 47.625

n = 4, e = 4 × 15.875 = 63.5

We have, e = 15.875 × n

Where, n represents the number of lawns Aziz mows, and n represents the amount of earnings Aziz makes in dollars

Therefore, the equation that represents the amount that Aziz earns for the number of lawn he mows is e = 15.875 × n