Question

there are 98 international units (ius) of vitamin d in 1 cup of milk. the function v(c) = 98c represents the amount v(c) of vitamin d, in ius, you get from c cups of milk. you have a 16 - cup jug of milk. what is the domain and range for the amount of vitamin d you could get from your milk jug? continuous discrete

Explanation:

Step1: Determine the domain

The number of cups $c$ of milk can range from $0$ (empty jug) to $16$ (full jug). So, the domain is $0\leq c\leq16$. Since you can have any fraction of a cup (e.g., half - cup, quarter - cup), the domain is continuous.

Step2: Determine the range

We use the function $V(c)=98c$. When $c = 0$, $V(0)=98\times0 = 0$. When $c = 16$, $V(16)=98\times16=1568$. So the range is $0\leq V(c)\leq1568$. Since the amount of vitamin D can take on any value within this interval (e.g., if you have half a cup, $V(0.5)=98\times0.5 = 49$), the range is continuous.

Answer:

Domain: $0\leq c\leq16$, continuous; Range: $0\leq V(c)\leq1568$, continuous