QuestionFind the mode of the numbers $x, 2x, 2x+6, 3x-1, 4x-8$ if their average is 9.

Studdy Solution

STEP 1

Question: What is the sum of the five numbers $x, 2x, 2x+6, 3x-1,$ and $4x-8$ ?
A) $10x + 5$ B) $12x - 3$ C) $11x + 7$ D) $13x - 2$
Answer: B) $12x - 3$

STEP 2

Question: Given that the average (arithmetic mean) of the five numbers is 9, which of the following equations should you use to find the value of $x$ ?
A) $9 = x/5$ B) $9 = (12x - 3)/5$ C) $9 = (2x + 6)/5$ D) $9 = (3x - 1)/5$
Answer: B) $9 = (12x - 3)/5$

STEP 3

Question: After rearranging the equation $9 = (12x - 3)/5$ , what is the value of $x$ ?
A) $4$ B) $5$ C) $3$ D) $2$
Answer: A) $4$

STEP 4

Question: Substitute $x=4$ into the expressions for the five numbers. What is the value of $3x-1$ ?
A) $11$ B) $14$ C) $8$ D) $4$
Answer: A) $11$

STEP 5

Question: After substituting $x=4$ into the expressions for the five numbers, which number appears most frequently (mode)?
A) $4$ B) $8$ C) $11$ D) $14$
Answer: B) $8$

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