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 reasonable domain and range of the function
The reasonable domain for the function v(c) = 98c would be the number of cups of milk that can be poured from the 16-cup jug. Since it is not possible to pour a negative or fractional number of cups, the domain should be the set of positive integers less than or equal to 16. Therefore, the reasonable domain is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}.
The reasonable range for the function v(c) = 98c would be the amount of vitamin D in IUs that can be obtained by pouring a given number of cups of milk from the jug. Since vitamin D is measured in IUs, the range should be the set of non-negative integers. Therefore, the reasonable range is {0, 98, 196, 294, 392, 490, 588, 686, 784, 882, 980, 1078, 1176, 1274, 1372, 1470, 1568}.