Question

The two circle graphs show how surveyed employees actually spend their time and how they would prefer to spend their time. Assume that employees have 112 hours a week that are not spent sleeping. Round answers to the nearest tenth of an hour. (a) What is the actual number of hours per week that employees spend on themselves?________ hr/week(b) What is the number of hours that employees would prefer to spend with family and friends? _______ hr/week(c) What is the difference between the number of hours an employee would prefer to spend on their job or career and the actual amount of time the employee spends their on job or career? _______ hr/week

Answer 1

Given:

The total number of hours in a week is, N = 112.

The actual percentage spent on themselves is, s(a) = 20%.

The actual percentage spent on Family and friends is, f(a) = 43%.

The actual percentage spent on Job/Career is, j(a) = 37%.

The prefered percentage spent on themselves is, s(p)= 23%.

The prefered percentage spent on Family and friends is, f(p) = 47%.

The prefered percentage spent on Job/Career is, j(p) = 30%.

Step-by-step explanation:

a)

The actual number of hours per week spend on themselves can be calculated as,

`\begin{gathered} S(a)=(s(a))/(100)* N \\ =(20)/(100)*112 \\ =22.4\text{ hr/week} \end{gathered}`

b)

The preferred number of hours per week spend on family and friends can be calculated as,

`\begin{gathered} F(p)=(f(p))/(100)* N \\ =(47)/(100)*112 \\ =52.6\text{ hr/week} \end{gathered}`

c)

The difference between preferred number of hours on job/career and actual number of hours on job/career can be calculated as,

`\begin{gathered} D=J(a)-J(p) \\ =(j(a))/(100)* N-(j(p))/(100)* N \\ =(37)/(100)*112-(30)/(100)*12 \\ =(7)/(100)*112 \\ =7.8\text{ hr/week} \end{gathered}`

Hence,

a) The actual number of hours per week spend on themselves is 22.4 hr/week.

b) The preferred number of hours per week spend on family and friends is 52.6 hr/week.

c) The difference between preferred number of hours on job/career and actual number of hours on job/career is 7.8 hr/week.