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)​

variables- H for hours and M for money

Step-by-step explanation:

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

  B) (x, y) = (0, 0), (1, 7), (2, 14)

  C) y = 7x

Step-by-step 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:

__

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

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step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: