Question

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

Answer 1

x=ay+30

Explanation:

First, let's assume that:

x= weekly salary of a store manager

y= managers earnings per hour

a= number of hours the manager works

Considering that a linear equation refers to an equation that represents a line and that it can have the form: y=mx+b, the equation would be that the weekly salary is equal to the number of hours he works for the earnings per hour plus the bonus:

x= (a*y)+ 30

x=ay+30

Answer 2

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

S = 300 + x Y

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