Answer:
1.)Step 1; Understand the problem
let x be the number of field goals
let y be the number of free throws
Step 2;Write the inequalities
the points for a field goal. times. the number of plus. the point for a. times
field goals free throw
2. •. x. + 1
the number of free throws. at most. points in one game
y. ≤. 15
So the linear inequality is 2•x+1•y≤15
Step 3;Solve the linear inequalities
2x+y≤15
2(3)+y≤15
6-6+y≤15-6
y≤9
Step 4;Check your answer
x=3,y=9
2(3)+y≤15
2(3)+1(9)≤15
6+9≤15
15≤15 TRUE
So the answer is;
FIELD GOALS =3
FREE THROWS = 9
2.)Step 1; Understand the problem
Let x ba the number of Php 100 tickets
Let y be the number of Php 200 tickets
Step 2;Write the inequalities
the number of tickets that times. the number. plus. the number of seats. times
they want to give away tickets
20. •. x. +. N. •
the number of tickets. at most Php 4,000
y. ≤. 4,000
So the linear inequality is 20x+Ny≤4,000
Step 3;Solve the linear inequalities
20(100)+N(200)≤4,000
2000+N(200)≤4,000
2,000-2,000+N(200)≤4,000-2,000
N(200)≤2,000
N≤10
Step 4; Check your answer
N=10
20(100)+10(200)≤4,000
2,000+2,000≤4,000
4,000≤4,000 TRUE
