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)   (Show Source): You can put this solution on YOUR website!
you need to fill out the following table.

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.







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