MELC: Real Life Verbal Expressions and Equations
Directions: Solve each problem. Use a separate sheet if needed
1.) Jenelyn gets a starting salary of Php15,000.00 a month and an increase of
Php500,00 annually. What will be her salary during the fifth year?
2.) Write the first four terms of a sequence in which the first term is 2 and
each term is 4 more than the preceding term
3.) Mico saved Php100,00 in January,Php200.00, Php300.00 in March and so on
until December. In which month did he save Php1000.00?
4.) In a mini-theatre, the first row has 8 seats, the second row has 10, and the
third row has 12. If there are 20 rows in the theatre, which row has 38 seats?
5.) A pile of blocks has 40 blocks in the bottom row, 36 blocks in the second
row, 32 blocks on the third row and so on until there are only 4 blocks on the top
row. How many blocks are there in the 7th row?
Answers
1.) Jenelyn gets a starting salary of Php15,000.00 a month and an increase of Php500,00 annually. What will be her salary during the fifth year?
Answer :-
→ Monthly salary = Php 15000
→ Monthly Salary after 1 year = (15000 + 50000) = php 65000 .
so,
→ Monthly salary after 4th year = 15000 + 4*50000 = 15000 + 200000 = php 2,15,000 .
2.) Write the first four terms of a sequence in which the first term is 2 and each term is 4 more than the preceding term .
Answer :-
→ first term = a = 2 .
→ common difference = d = 4 .
so,
→ second term = a + d = 2 + 4 = 6
→ third term = a + 2d = 2 + 4*2 = 2 + 8 = 10
→ fourth term = a + 3d = 2 + 4*3 = 2 + 12 = 14
3.) Mico saved Php100,00 in January,Php200.00, Php300.00 in March and so on until December. In which month did he save Php1000.00?
Answer :-
→ first term = saving in january = php 100
→ common difference = php 100
→ nth term = php 1000 .
so,
→ Tn = a + (n - 1)d
→ 1000 = 100 + (n - 1)100
→ 1000 = 100 + 100n - 100
→ 100n = 1000
→ n = 10 (Ans.)
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