# clerk is paid ₱ 45.50 per hour for 40 hours per week, 1.50 times the regular rate for overtime and d…

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### Tanong

clerk is paid ₱ 45.50 per hour for 40 hours per week, 1.50 times the regular rate for overtime and double the regular for a holiday. How much does the clerk get if he works overtime for 3 hours and 5 hours on a holiday?

### Mga sagot sa #1 sa Tanong: clerk is paid ₱ 45.50 per hour for 40 hours per week, 1.50 times the regular rate for overtime and double the regular for a holiday. How much does the clerk get if he works overtime for 3 hours and 5 hours on a holiday?

**Answer:**

The total amount that the clerk earns is P 2479.752479.75 .

Step-by-step explanation:

We can employ Polya's problem-solving techniques in this situation. Polya's method is very simple. It only consists of four steps.

Polya's Method of Solving Problems

1. Understand the problem

2. Devise a plan

3. Carry out the plan

4. Check back and interpret

Step 1:

We know that the regular pay rate of the clerk is P 45.5045.50 per hour and it should only be for 40 hours. So, the total amount the clerk earns for 40 hours is 40times{45.50}= 182040×45.50=1820 .

Take note that if the clerk works beyond 40 hours, the rate will be P 1.501.50 times the regular rate for the excess hours. So for example, if the clerk works for 45 hours, 40 hours for the regular rate (18201820 ) plus 1.50 times {45.50}1.50×45.50 per hour for five hours.

Note as well that if the clerk works on a holiday, the rate is double the regular rate (9191 ) per hour.

Step 2:

Let's form a function model that represents the total amount that the clerk earns.

Let PP be the amount that the clerk would earn if he works overtime for 3 hours and 5 hours on a holiday. Let x_1x

1

be the number of hours with regular rate, x_2x

2

be the number of hours working overtime and x_3x

3

be the number of hours working on a holiday.

Since the clerk is working overtime, this means that he has already completed the 40 hours regular rate. Thus, the clerk has already earned P 18201820 for the first 40 hours or 45.50x_145.50x

1

where x_1x

1

is the first 40 hours. The overtime he has is 3 hours, he is earning 1.50times{45.50}x_21.50×45.50x

2

where x_2x

2

is the number of hours working overtime. Then, he works for 5 hours on a holiday, the is earning 2times{45.50}x_32×45.50x

3

where x_3x

3

is the number of hours working on a holiday.

Form the function model by adding each expression that represents the amount earned.

begin{gathered}begin{aligned}P&=45.50x_1+1.50times{45.50}x_2+2times{45.50}x_3\P&=45.50x_1+68.25x_2+91x_3end{aligned}end{gathered}

P

P

=45.50x

1

+1.50×45.50x

2

+2×45.50x

3

=45.50x

1

+68.25x

2

+91x

3

Step 3:

We'll use the function model in step 2 to carry out the total amount earned. Substitute the values of x_1=40x

1

=40 (total working hours with regular rate), x_2=3x

2

=3 (total working overtime hours) and x_3=5x

3

=5 (total working hours on a holiday), then simplify.

begin{gathered}begin{aligned}P&=45.50(40)+68.25(3)+91(5)\P&=1820+204.75+455\P&=2479.75end{aligned}end{gathered}

P

P

P

=45.50(40)+68.25(3)+91(5)

=1820+204.75+455

=2479.75

Step 4:

This means that the total amount that the clerk earns is P 2479.752479.75 .

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