Answer:
Problem 1:
Mrs. Burgos wants to buy at least 30 kilos of pork and beef for her restaurant business but has to spend no more than Php 12,000. A kilo of pork costs Php 180 and a kilo of beef costs Php 220. What mathematical statements represent the given situation?
a.) x + y > 30 and 180x + 220y< 12,000
b.) x + y ≥ 30 and 180x + 220y ≤ 12,000
c.) x + y < 30 and 180x + 220y >12,000
d.) x + y ≤ 30 and 180x + 220y ≥ 12,000
Solution:
Let x be the kilos of pork ; y be the kilos of beef.
x + y ≥ 30
180x + 220y ≤ 12000
Answer:
B
Problem 2:
Graph system of equality:
y ≤ 2x +1
2x - 5y ≤ 10
Solution:
y ≤ 2x + 1
if y = 0
0 ≤ 2x + 1
0 - 1 ≤ 2x
-1/2 ≤ x
x intercept
(-1/2, 0)
if x = 0
y ≤ 2x + 1
y ≤ 2(0) + 1
y ≤ 1
y intercept
(0, 1)
if x = 0
2x - 5y ≤ 10
2(0) - 5y ≤ 10
0 - 5y ≤ 10
-y ≤ 10/5
-y ≤ 2
y ≤ -2
y intercept
(0, -2)
if y = 0
2x - 5y ≤ 10
2x - 5(0) ≤ 10
2x - 0 ≤ 10
2x ≤ 10
x ≤ 10/2
x ≤ 5
x intercept
(5, 0)
Answer:
Plot these intercepts to form the graph. The shaded area is the solution to the inequality
x intercept (-1/2, 0)
y intercept (0, 1)
x intercept (5, 0)
y intercept (0, -2)
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Step-by-step explanation:
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