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

x = 1.143 (Approximate)

Step-by-step 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)

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: