SOLUTION: I need help/explanations in solving; Sara already has 12 pairs of shoes and she gets two new pairs of shoes for every birthday she has. Unit rate: ___________ _____ per __________

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Question 1168076: I need help/explanations in solving; Sara already has 12 pairs of shoes and she gets two new pairs of shoes for every birthday she has.
Unit rate: _________________ per ________________________
Dependent Variable _____ : ___________________________________________
Independent Variable _____ : ___________________________________________
Answer by Theo(13342) About Me  (Show Source):
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Sara already has 12 pairs of shoes and she gets two new pairs of shoes for every birthday she has.
Unit rate: _________________ per ________________________
Dependent Variable _____ : ___________________________________________
Independent Variable _____ : ___________________________________________

the unit rate is 2 pairs of shoes per year.

the dependent variable is y and it represents the number of shoes she has each year.

the independent variable is x and it represents the number of years from the current year.

the equation would be y = 2x + 12

you pick the value of x.

you use the equation to tell you the value of y.

x is the independent variable because you choose the value of x.

y is the dependent variable because you use the equation to find the value of y once you have provided the equation with the value of x.

for example:

when x = 0, y = 2 * 0 + 12 = 12

the constant term told you the number of shoes she has in the current year.

when x = 5, y = 2 * 5 + 12 = 10 + 12 = 22

you chose the value of 5 for x.

you used the equation to find the value of y = 22.

x was the number of years from the current year.

y was the number of pairs of shoes she has in 5 year if she adds 2 pairs of shoes each year.

this equation can be graphed.

the equation looks like this on the graph.