Question

A restaurant is open from 5 pm to 2 am each day, and a maximum of 220 clients can fit inside. if f(t) is the number of clients in the restaurant t hours after 5 pm each day, what are a reasonable domain and range for f(t)?

Answer 1

Since it's open from 5pm to 2am, there are 9 hours in between those two for how long the restaurant is open, so it's [0, 9]. We get the 0 from that you can start at 5 pm too!

If 220 clients can fit in, and the minimum amount of clients is 0, the range of clients are [0, 220]