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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