[tex]\begin{gathered} \text{Domain: x }\le100 \\ \text{Range: C(x) }\le\text{ 2250} \end{gathered}[/tex]Explanation:[tex]\begin{gathered} \text{PART C:} \\ \text{The function:} \\ C(x)\text{ = 20x + 250} \end{gathered}[/tex][tex]\begin{gathered} \text{The ma x i}mum\text{ cost allowed }is\text{ \$2250} \\ \text{This is wr}itten\text{ as }\le\text{ 2250} \\ \text{Domain are the possible values of x} \\ \text{Range are the possible values of the cost} \end{gathered}[/tex][tex]\begin{gathered} C(x)\text{ }\le\text{ 2250} \\ 20x\text{ + 250 }\le\text{ 2250} \\ \text{subtract 250 from both sides:} \\ 20x\text{ + 250 - 250 }\le\text{ 2250 - 250} \\ 20x\text{ }\le\text{ 2000} \end{gathered}[/tex][tex]\begin{gathered} \text{divide both sides by 20:} \\ \frac{20x}{20}\text{ }\le\text{ }\frac{2000}{20} \\ x\text{ }\le\text{ 100} \end{gathered}[/tex][tex]\begin{gathered} \text{Domain: x }\le\text{ 100} \\ \text{Range: C(x) }\le\text{ 2250} \end{gathered}[/tex]
