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2w+4
Carly is cutting a piece of paper stock based on the width of a photo. The expression above describes the length of the paper stock, in inches, for a photo that is
w inches wide. If the photo is 8.5 inches wide, what is the length of the paper stock in inches?

$2 w+4$ $\newline$ Carly is cutting a piece of paper stock based on the width of a photo. The expression above describes the length of the paper stock, in inches, for a photo that is $w$ inches wide. If the photo is $8$ . $5$ inches wide, what is the length of the paper stock in inches?

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Find a value using two-variable equations: word problems

Full solution

Q.

2 w+4

\newline

Carly is cutting a piece of paper stock based on the width of a photo. The expression above describes the length of the paper stock, in inches, for a photo that is

w

inches wide. If the photo is

8

.

5

inches wide, what is the length of the paper stock in inches?

Identify Given Expression: Identify the given expression and the value to be substituted. $\newline$ The expression for the length of the paper stock is $2w + 4$ , where $w$ represents the width of the photo. We are given that the photo is $8.5$ inches wide.
Substitute Given Width: Substitute the given width into the expression. $\newline$ Substitute $w = 8.5$ inches into the expression to find the length of the paper stock. $\newline$ Length = $2(8.5) + 4$
Perform Multiplication: Perform the multiplication part of the expression. $\newline$ Calculate $2$ times $8.5$ inches. $\newline$ $2 \times 8.5 = 17$ inches
Add Result to Find Total Length: Add the result of the multiplication to $4$ inches. $\newline$ Add $17$ inches to $4$ inches to get the total length of the paper stock. $\newline$ $17 + 4 = 21$ inches

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