What Is A Linear Equation ?

Our ancestors used to name Math: Sport of Mind

Math is an effective tool for real life. Linear equation for instance, that combines 2 variables ( independent-X- and dependent-Y-) in one equation, so that it allows us to evaluate a real life situation( job offers for instance- Emptying Reservoirs and Tanks...)

Suppose that you received a couple of job offers on the following bases:

1- Company A: 15$/hour + $24(constant)/day =(15x8)/day +24(constant)/day= $144/day (assume that daily working hours=8 hours/day)

2- Company B: $20$/ hour+ $20 (constant)/day =(20x8)/day+20 = $180$/day

Which offer you select and why? COMPANY B

Explanation: Since the revenue increases as per number of hours, then we conclude that:

1- Time (hours)= x (independent variable)

2- Earnings= y (dependent variable)

Linear equation : y=ax+b

Where: a is the coefficient of the INDEPENDENT VARIABLE and b is the CONSTANT

Therefore we have 2 linear equations:

Y₁= 120X₁+24 ____________________(Company A)Y₂ = 160X₂ + 20 __________________(Company B)So, if X varies, Y varies.
N.B: comparing the offers should based on similar working hours criteria