Question

you decide to order magnets instead of bumper stickers. each magnet costs $3, and the shipping fee for your order is $5. the total cost of your order, including the shipping fee, is $455.

create and solve an equation to determine how many magnets you should order. you can use \\(y\\) to represent the number of magnets.

\\(5y + 3 = 455\\)
\\(y = 90\\)

\\(8y = 455\\)
\\(y = 57\\)

\\(3y + 5 = 455\\)
\\(y = 150\\)

\\(3y + 5 = 450\\)
\\(y = 148\\)

Explanation:

Define variables and constants

Let \(y\) represent the number of magnets.
Each magnet costs \$3, so the cost of magnets is \(3y\).
The flat shipping fee is \$5.
The total cost is \$455.

Set up the equation

Using the Modeling Linear Equations concept, we write:

$$3y + 5 = 455$$

Solve the equation

Using the Solving Linear Equations knowledge point

$$
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$$

Answer:

• (A) \(5y + 3 = 455\), \(y = 90\)
• (B) \(8y = 455\), \(y = 57\)
• (C) \(3y + 5 = 455\), \(y = 150\) (Correct answer)
• (D) \(3y + 5 = 450\), \(y = 148\)