close
Answered

TILE Mark is purchasing new tile for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer boxes are purchased, $45 for each box when 4 to 8 boxes are purchased, $42 for each box when 9 to 19 boxes are purchased, and $38 for each box when more than nineteen boxes are purchased. look for the piecewise-defined function

Answer :

[tex]f(x)=\left\{ \begin{aligned}48\text{ for (0,3}\rbrack \\ \text{45 for }\lbrack4,8\rbrack\rbrack \\ 42\text{ for }\lbrack9,19\rbrack \\ 42,when\text{ x}>99\end{aligned}\right.[/tex]

Step 1

x=store charges

then

Step 2

$48 for each box of tiles when three or fewer boxes are purchased

[tex]\begin{gathered} f(x)=48,if0Step 3

$45 for each box when 4 to 8 boxes are purchased

[tex]\begin{gathered} f(x)=45,if4\leq x\leq8 \\ f(x)\text{ = 45 for }\lbrack4,8\rbrack \end{gathered}[/tex]

Step 4

$42 for each box when 9 to 19 boxes are purchased

[tex]\begin{gathered} f(x)=42,when9\leq x\leq19 \\ f(x)=42\text{ for }\lbrack9,19\rbrack \end{gathered}[/tex]

Step 5

$38 for each box when more than nineteen boxes are purchased

[tex]f(x)=42,when\text{ x}>99[/tex]

Other Questions