Question

Identify the information given to you in the application problem below. Use thatinformation to answer the questions that follow on Practical Domain and PracticalRange.Round your answers to two decimal places as needed.The cost to fill your motor home's propane tank is determined by the functionC(9) = 3.37g where C is the output (cost in $) and g is the input (gallons of gas).The propane tank can hold a maximum of 17 gallonsIdentify the practical domain of this function by filling in the blanks below.Minimum Gallons Purchased 59 s Maximum Gallons PurchasedPractical Domain:

Answer 1

Solution:

The cost to fill the propane tank is modeled by the function;

$\begin{gathered} C(g)=3.37g \\ \\ \text{ Where }C=cost(\text{ \ })\text{ and }g=gallon\text{ \lparen of gas\rparen} \end{gathered}$

The practical domain of this function is;

$0\leq g\leq17$

Hence, the range of this function is;

$\begin{gathered} \text{ Minimum cost:} \\ C(0)=3.37(0) \\ \\ C(0)=0 \\ \\ Maximum\text{ cost:} \\ C(17)=3.37(17) \\ \\ C(17)=57.29 \end{gathered}$

Thus, the practical range is;

$0\leq C(g)\leq57.29$