Question

Minnie organizes data in a table to show the net change in the number of people subscribing and unsubscribing to her blog each month.
Month: 1 2 3 4 5 6 7 8 9 10
Change: -8 11 -7 -7 -7 -8 -8 -8 11 11
She writes the sum of the ten integers, then factors her expression.
She correctly determines the total change for the 10 months.
What factored expression does she write, and what is her answer?
Enter your answer by filling in the boxes.
__ ( 11 - __ ) + 4 ( __ )
Answer: __

Answer 1

The factored expression which represents the net change in the number of blog subscriptions over 10 months is :

• 3(11 - 7) + 4(-8)
• Hence, the net change is -20

Change : -8, 11, -7, -7, -7, -8, -8, -8, 11, 11

To factor the values in the change variable :

-7 has a frequency of 3

-8 has a frequency of 4

11 has a frequency of 3

Values having the same frequency can be factored together :

Hence, we have ;

3(11 - 7) = 3(11 - 7) = 3(4) = 12 - - - - (1)

-8 having a value of 4 can be factored thus ; 4(-8) = -32 - - (2)

Joining both equations :

3(11-7) + 4(-8)

3(11 - 7) + 4(-8)

3(4) + 4(-8)

12 + (-32)

= - 20

Therefore, the factored expression for the net change in subscription is 3(11-7) + 4(-8)

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