The mayor of the city of San Diego wants to increase taxes to invest in a modern transit system. She hires a polling agency to select at random 650 registered voters in the city to survey to determine the maximum percentage increase in municipal taxes that they would approve.

Part A: What is the population in this survey? Explain your answer using complete sentences. (1 point)

Part B: What is the population parameter? Explain your answer using complete sentences. (2 points)

Part C: What is the sample in this survey? Explain your answer using complete sentences. (2 points)

Step-by-step explanation:

Part A: What is the population in this survey?

The population in this context is the total number of registered voters in the whole city of San Diego.

Part B: What is the population parameter

The population parameter in this survey is the maximum percentage increase in municipal taxes that they would approve.

Part C: What is the sample in this survey?

The sample in this survey is the randomly selected 650 registered voters in the city.

the graph on the bottom right

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

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