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Math  /  Algebra

Question3 Fill in the Blank 3 points
Alan started with 2 novels in his current book collection. He gets 4 new novels each month. This problem can be modeled using the equation N(x)=N(x)= 2+4x2+4 x, where N be the number of novels Alan has and xx represents the number of month.
Determine the number of novels Alan has in his collection after 6 months. Use the graph on the answer sheet to assist you in answering this question, if needed. type your answer...

Studdy Solution

STEP 1

1. Alan started with 2 novels.
2. Alan receives 4 new novels each month.
3. The equation modeling the number of novels is N(x)=2+4x N(x) = 2 + 4x .
4. x x represents the number of months.
5. We need to determine the number of novels after 6 months.

STEP 2

1. Identify the given equation.
2. Substitute the value of x x into the equation.
3. Calculate the result.
4. Interpret the result.

STEP 3

Identify the given equation. The equation is:
N(x)=2+4x N(x) = 2 + 4x

STEP 4

Substitute the value of x=6 x = 6 into the equation:
N(6)=2+4(6) N(6) = 2 + 4(6)

STEP 5

Calculate the result by performing the multiplication and addition:
N(6)=2+24 N(6) = 2 + 24
N(6)=26 N(6) = 26

STEP 6

Interpret the result. After 6 months, Alan has 26 novels in his collection.
The number of novels is:
26 \boxed{26}

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