An online bookstore sells paperback novels for 12 dollars each. The total cost, in dollars… — ACT

An online bookstore sells paperback novels for $12$ dollars each. The total cost, in dollars, to purchase $n$ novels and have them shipped to a customer's home is given by the expression $12n + 8$ . What is the total cost, in dollars, to purchase $4$ novels and have them shipped?

A
24
B
40
56Answer
D
80
E
144

Answer

The total cost to purchase 4 novels and have them shipped is 56 dollars.

The correct answer is 56. Substituting the number of novels (

n = 4

) into the cost expression

12n + 8

gives

12(4) + 8

. Following the order of operations, we first multiply 12 by 4 to get 48, and then add 8, resulting in 56.

Step-by-Step Solution

Substitute the number of novels,

n = 4

, into the given cost expression,

12n + 8

The expression becomes

12(4) + 8

To find the total cost for a specific number of novels, we replace the variable representing the number of novels with the given value.

Apply the order of operations (PEMDAS/BODMAS) to evaluate the expression by multiplying before adding.

12 \times 4 = 48

, then

48 + 8 = 56

Multiplication must be performed before addition according to standard mathematical rules.

Key Concept

Evaluating algebraic expressions using the order of operations

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