Question

Emma knits 2.5 cm of a sweater in an hour. The total sweater amount (s) can be represented with the equation s(t) = 2.5t, where t represents the amount of hours. It took Emma 8 hours to complete her sweater. State the domain.

a) {0, 1, 2, 3, 4, 5, 6, 7, 8}
b) {1, 2, 3, 4, 5, 6, 7, 8, 9}
c) {0, 1, 2, 3, 4, 5, 6, 7}
d) {1, 2, 3, 4, 5, 6, 7, 8}

Answer 1

The domain of the function s(t) = 2.5t, which represents the total amount of a sweater knitted over time, is {0, 1, 2, 3, 4, 5, 6, 7, 8} when Emma took 8 hours to complete the sweater.

Step-by-step explanation:

The student asks about the domain of the function representing the total amount of a sweater knitted by Emma over time. The function is given by s(t) = 2.5t, where t represents the number of hours. If it took Emma 8 hours to complete the sweater, then the domain of the function, which includes all the possible values of t, is the set of whole numbers from the time she started knitting (0 hours) until she finished (8 hours). Thus, the correct domain is {0, 1, 2, 3, 4, 5, 6, 7, 8}.