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Write the algebraic definition for the piecewise function graph.

f(x)={[=>],[=>],[=>]:}

$1$ . Write the algebraic definition for the piecewise function graph. $\newline$ $f(x)=\left\{\begin{array}{l} \Rightarrow \\ \Rightarrow \\ \Rightarrow \end{array}\right.$

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Prime factorization

Full solution

Q.

1

. Write the algebraic definition for the piecewise function graph.

\newline

f(x)=\left\{\begin{array}{l} \Rightarrow \\ \Rightarrow \\ \Rightarrow \end{array}\right.

Find GCF: Find the greatest common factor (GCF) of $15$ and $20$ to determine the max number of schools.
List factors of $15$ : List the factors of $15$ : $1$ , $3$ , $5$ , $15$ .
List factors of $20$ : List the factors of $20$ : $1$ , $2$ , $4$ , $5$ , $10$ , $20$ .
Identify common factor: Identify the largest factor that $15$ and $20$ have in common, which is $5$ .
Divide by GCF: Divide the number of computers and printers by the GCF to check for leftovers. $\newline$ $15 \div 5 = 3$ computers per school. $\newline$ $20 \div 5 = 4$ printers per school.
Confirm no leftovers: Confirm there are no leftovers.

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