kyle teaches martial arts. he is planning to lead a self - defense seminar at his local community center…

kyle teaches martial arts. he is planning to lead a self - defense seminar at his local community center. students can sign up in advance for a price of $8. kyle will run the seminar as long as at least 10 students sign up. he will close registration at 100 students due to space restrictions at the community center. the function c(t) represents the amount of money kyle will earn, in dollars, for teaching the seminar to t students. what is the range of c(t)?

kyle teaches martial arts. he is planning to lead a self - defense seminar at his local community center. students can sign up in advance for a price of $8. kyle will run the seminar as long as at least 10 students sign up. he will close registration at 100 students due to space restrictions at the community center. the function c(t) represents the amount of money kyle will earn, in dollars, for teaching the seminar to t students. what is the range of c(t)?

Answer

Explanation:

Step1: Determine the domain of the function

The number of students (t) must satisfy (10\leq t\leq100) because Kyle will run the seminar as long as at least 10 students sign up and will close registration at 100 students.

Step2: Find the range of the function (C(t))

Since (C(t) = 8t) (price per student is $8), when (t = 10), (C(10)=8\times10 = 80); when (t = 100), (C(100)=8\times100=800).

Answer:

all multiples of 8 from 80 to 800