The weekly salary of a store manager includes a $30 bonus + the number of hours the manager works multiplied by the managers earnings per hour. is this situation defined by a linear function write a equation

Yes, the salary of the manager is defined by a  linear function S.

S = 300 + x Y

Step-by-step explanation:

The weekly salary of manager includes:

(a) $300 bonus

(b)  (Number of hours) times ( Earnings Per hour)

Now, let the earning per hour of Manager  =  $x

Also, let us assume that in total he works Y hours a week.

⇒Number of hours x ( Earnings Per hour)  =  y times ($x)  = $(xY)

Hence, the total Salary of the Manager  =  (a)  + (b)

= $300 bonus + (Number of hours x ( Earnings Per hour))

= $300 + $(xY)

or,   S(Manager)  = 300  + xY

Yes, the salary of the manager is defined by a  linear function S.

S = 300 + x Y

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2