Question

The number of hours people in the United States spent playing video games each year from 1998 to 2001 can be modeled by the function f(x)= 11.9x+46.4 where x is the number of years since 1998. Find the value of x so that f(x)=60. Explain what the solution means in this situation

Answer 1

x = 1.143 (Approximate)

Explanation:

The number of hours people in the USA spent playing video games each year from 1998 to 2001 can be modeled by the function f(x) = 11.9x + 46.4, where x is the number of years since 1998.

Now, for f(x) = 60, the equation becomes

11.9x + 46.4 = 60

⇒ 11.9x = 13.6

⇒ x = 1.143 (Approximate) (Answer)

That means 1.143 years since 1998 the people of USA spent playing video games 60 hours each year. (Answer)