Chabot Mathematics. §3.2b System Applications. Bruce Mayer, PE Licensed Electrical & Mechanical Engineer [email protected] MTH 55. 3.2. Review §. Any QUESTIONS About §3.2a → System Applications Any QUESTIONS About HomeWork §3.2a → HW-09. Summary of Eqn Elimination.
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Chabot Mathematics
§3.2b SystemApplications
Bruce Mayer, PE
Licensed Electrical & Mechanical [email protected]
MTH 55
3.2
Consider This Equation System
Subtract the bottom equation from the top equation.
Divide Both Sides by 14
Solve for y
Add 6 to Both Sides
Combine Like Terms
Mult Both Sides by 1/3
Solve for x
(5,3)
Translating
Distance = {Rate (or speed)} {Time}
Solve: Use Substitution
(r + 5)4= (r – 5)6
4r + 20= 6r – 30
50= 2r
25= r
Carry out: The translations produced a System of Eqns
State: Ernesto will catch up to Tamika in a little less than 1 hour (0.92 hrs, which is 55 min). The time will be 1:45pm + (55 min) = 2:40pm
Supply
Equilibrium point
Quantity
Demand
Price
supply
demand
Carry Out: Isolate x in the above Eqn to find the quantity. Then Substitute the value of x into either Price Eqn
Profit = Revenue – Cost
or
P(x) = R(x) – C(x)
R(x) = 10x
Break-even point
Gain
4,000
3,500
3,000
C(x) = 2400 + 2x
2,500
2,000
Loss
1,500
P(x) = 8x – 2400
1,000
500
0 50 100 150 200 250 300 350 400 450 500 550
Wallets sold
-2500
Supply & DemandSeeSaw