Question

A creative group of students produces a reality television show that features various aspects of college and dorm life. Once the show begins airing on the university's public access cable channel, the function shown below represents the number of weeks that pass until x percent of the campus is watching the show. Compute w(50) to one decimal place, and interpret the result in the context of this problem.

w(x)=(x+125)^1/3

A. It will be about 6 weeks until 50 percent of the campus is watching the show.
B. It will be about 5.7 weeks until 60 percent of the campus is watching the show.
C. It will be about 5.6 weeks until 50 percent of the campus is watching the show.
D. It will be about 5.5 weeks until 50 percent of the campus is watching the show.

Answer 1

Option c is correct option

it will be about 5.6 weeks until 50 percent of the campus is watching the show

Explanation:

we are given

w(x)=
`x+125^{(1)/(3) }`

w(50)=
`50+125^{(1)/(3) }`

w(50)=
`175^{(1)/(3) }`

w(50)=
`\sqrt[3]{175}`

w(50)=5.59

we have to convert it into one decimal form

5.59=5.6

hence option c is correct option.