Each of 16 store cashiers worked an average of 21 hours per week and is paid 8.25 per hour. After the store manager hires 2 additional cashiers, each cashier will be paid 0.25 more per hour and will work an average of 1.5 hours per week.

$211.50

Step-by-step explanation:

Complete Question:

Each of 16 store cashiers worked an average of 21 hours per week and is paid 8.25 per hour. After the store manager hires 2 additional cashiers, each cashier will be paid 0.25 more per hour and will work an average of  1.5 fewer hours per week. What will be the change in the total amount of money the cashiers are paid each week?

Solution:

Total Sum Hours = 21 * 16 = 336 hours

At $8.25 per hour, the cost is:

8.25*336 = $2772

Now,

2 more cashier means: 16 + 2 = 18 cashiers

New rate is 0.25 dollars more, so new rate is:

8.25 + 0.25 = $8.50 per hour

Average 1.5 hrs less is an average of 21 - 1.5 = 19.5 hours

Now,

Total Sum hours = 18 * 19.5 = 351 hours

At $8.50 per hour, the cost is:

8.50 * 351 = $2983.50

Total change in money paid to cashiers in a week would be:

2983.50 - 2772 = $211.50

gregory's graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions