Question

the sugar sweet company delivers sugar to its customers. let ( c ) be the total cost to transport the sugar (in dollars). let ( s ) be the amount of sugar transported (in tons). the company can transport up to 20 tons of sugar. suppose that ( c = 140s + 1500 ) gives ( c ) as a function of ( s ). identify the correct description of the values in both the domain and range of the function. then, for each, choose the most appropriate set of values.

description of values	set of values
range: <br> - ( \bigcirc ) amount of sugar transported (in tons) <br> - ( \bigcirc ) cost to transport sugar (in dollars)	select <br> (dropdown)

Explanation:

Step1: Define domain variable

The domain describes the valid values of the input variable $S$ (amount of sugar transported). The company can transport 0 to 20 tons, so:
$0 \leq S \leq 20$

Step2: Define range variable

The range describes the valid values of the output variable $C$ (total transport cost). Calculate the minimum and maximum $C$ using $C=140S+1500$:
Minimum $C$ (when $S=0$): $C=140(0)+1500=1500$
Maximum $C$ (when $S=20$): $C=140(20)+1500=2800+1500=4300$
So $1500 \leq C \leq 4300$

Answer:

Domain:

Description of Values: Amount of sugar transported (in tons)
Set of Values: $0 \leq S \leq 20$

Range:

Description of Values: Cost to transport sugar (in dollars)
Set of Values: $1500 \leq C \leq 4300$