Question

Two friends, Lucy and Eva, took summer jobs. The equation y=16.6x represents Eva's earnings in dollars and cents, y, for working x hours. The graph below represents Lucy's earnings in dollars and cents, y, for working x hours. How much less per hour does Eva earn than Lucy?

Answer 1

Eva earning is less than Lucy earning per hour by $3

Linear equation

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the earnings for working for x hours.

Eva earnings is given by y = 16.6x

From the graph Lucy earning pass through (0, 0) and (10, 196), hence the y intercept is 0 and the slope = (196 - 0)/ (10 - 0) = 19.6

The equation is y = 19.6x

Eva earning is less than Lucy earning per hour by $3 (19.6 - 16.6)

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