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Tiya earns $7 an hour mowing her neighbor's lawn. Part A: Create two variables and determine which is dependent and which is independent for this situation. (4 points) Part B: List three ordered pairs to show the values of the two variables. (3 points) Part C: Write an equation to represent the relationship between the two variables. (3 points)​

User Samir Kape
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Answer:

A) y = earnings (dependent); x = hours (independent)

B) (x, y) = (0, 0), (1, 7), (2, 14)

C) y = 7x

Explanation:

A) When time is involved, it is usually considered to be the independent variable. Here, earnings depend on time spent mowing, so earnings are the dependent variable. We can assign variables as follows:

  • y = earnings (dependent)
  • x = hours (independent)

__

B) Some ordered pairs might be ...

(x, y) = (0, 0), (1, 7), (2,14) . . . . earnings for 0, 1, 2 hours spent mowing

__

C) Earnings are proportional to hours. The constant of proportionality is the pay rate: $7/hour. The equation might be ...

y = 7x

User Immanuel
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