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The equation shows how the cost of buying pencils is related to the number of pencils purchased. $\newline$ $c= 0.5p+2$ $\newline$ The variable $p$ represents the number of pencils, and the variable $c$ represents the total cost. How much does it cost to buy $10$ pencils?

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Find a value using two-variable equations: word problems

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Q. The equation shows how the cost of buying pencils is related to the number of pencils purchased.

\newline

c= 0.5p+2

\newline

The variable

p

represents the number of pencils, and the variable

c

represents the total cost. How much does it cost to buy

10

pencils?

Identify Variable Correspondence: Identify what the variable $10$ corresponds to. $\newline$ The variable $p$ represents the number of pencils. So, $10$ corresponds to the value for $p$ .
Substitute and Simplify Equation: We know that $p = 10$ . $\newline$ Plug in the value for $p$ in the equation $c = 0.5p + 2$ . $\newline$ $c = 0.5p + 2$ $\newline$ Substitute $p$ with $10$ . $\newline$ $c = 0.5 \times 10 + 2$
Calculate Total Cost: Calculate the total cost. $\newline$ c = $0.5 \times 10 + 2$ $\newline$ c = $5 + 2$ $\newline$ c = $7$ $\newline$ Therefore, the total cost to buy $10$ pencils is $\$7$ .

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