PERFORMANCE TASK 4
Solve the following problems involving linear equations and inequalities in one
variable.
PROBLEM 1:
Jonathan paid Php15.95 to become a member of San Pedro Bikers Club.
He then paid a monthly fee. He paid a total amount of Php735.95 for 12 months
including her membership fee. How much was the monthly fee Jonathan paid?
Hints:
Let m be the monthly fee since Jonathan is paying for 12 months then
the expression will be 12m.
Monthly fee "m" times 12 is 12m
Initial fee is 15.95
The total cost is 735.95
Formula: Monthly fee(m) times 12 plus initial fee is equal to the total cost
PROBLEM 2:
Your teacher asks you to make a triangular banner about safety
protocols during this pandemic to be posted in front of your house. Two sides
of the banner measure 30 cm each. If the perimeter of the banner does not
exceed 85 cm, what is the largest possible measure of the third side?
Hint:
Perimeter of a triangle is equal to the sum of the measure of its side

Question

Answered

Sagot :

Анонимgo Анонимgo · Answer 1

Answer with Step-by-step explanation:

1) Total Cost (for the year)= 12m + initial fee

or

12m + initial fee = total cost

Where: m is the monthly fee

Find m:

12m + 15.95 = 735.95

12m = 735.95 - 15.95

12m = 720

12m/12 = 720/12

2) Measure of two sides of triangular banner:

Measure of third side: s

Perimeter of triangle = sum of sides

If perimeter does not exceed 85 cm, then the perimeter is at maximum 85 cm.

Inequality:

[tex](2 \times 30) + s \leqslant 85 [/tex]

[tex]s \leqslant 85 - (2x30)[/tex]

[tex]s \leqslant 85 - 60[/tex]

[tex]s \leqslant 25[/tex]