What do I do to get this answer? Could you provide me a step by step to understand where you get the numbers from? Thank you, will be using them as notes for the rest.

$546.25 is the total pay for that week

Step-by-step explanation:

Allen makes $11.50 per hour. That means that if he works 40 hours per week, he will make 460$.

$11.50 * 40 hours = $460 per week

Overtime is any number of hours he works over 40 hours per week. Allen makes 50% more for every hour of overtime. Instead of making 11.50, he will be making $17.25.

$11.50 * 1.5 = $17.25 per hour of overtime

To solve the problem:

1. How many hours were worked total on that particular week?

2. How many hours were normal time, how many were overtime?

3. Multiply normal time hours by $11.50, overtime hours by $17.25.

4. Add them together for the total compensation

Solution:

The week of 5/17, Allen worked 45 hours total. This is 40 hours of normal time, 5 hours of overtime.

40 hours * $11.50 = $460.00

5 OT hours * $17.25 = $86.25

$460.00 + $86.25 = $546.25 is the total amount earned that week.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be