Which describes a correct way to construct a scatterplot? when analyzing the number of home runs that a baseball player hit over several seasons, the season is the independent variable.
when analyzing the number of umbrellas that are sold during days with varying amounts of rain, the number of umbrellas that are sold is the independent variable.
when analyzing the number of registered voters by age, age is the dependent variable.
when analyzing the number of students that ride the school bus each day of the week, the day is the dependent variable.

When analyzing the number of home runs that a baseball player hit over several seasons, the season is the independent variable.

Step-by-step explanation:

To construct a scatter plot we need to decide which quantity we use as independent quantity and which one as the dependent one.

1) The number of home runs is dependent on the number of seasons, thus the the number of home runs is dependent quantity and number of season is independent .

2) The number of umbrellas that are sold  are dependent on number of days.

Thus the number of umbrellas that are sold are dependent quantity not independent.

3) The number of registered voters by age, age is the dependent variable. The number of voters are depends on their ages, thus ages are independent variable not dependent.

4) The number of students that ride the school bus is dependent on the number of days, thus days must be independent variable not independent.

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step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.