There are 12 project managers that are employed by Mr. Wells
Solving linear equation mean calculating the unknown variable from the equation.
Let the linear equation : y = mx + c
If we draw the above equation on Cartesian Coordinates , it will be a straight line with :
m → gradient of the line
( 0 , c ) → y - intercept
Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :
[tex]\large {\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}}[/tex]
If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :
[tex]\large {\boxed{y - y_1 = m ( x - x_1 )}}[/tex]
Let us tackle the problem!
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This problem is about Directly Proportional.
There were 8 engineers under every team leader.
[tex]\texttt{1 Team Leader} \rightarrow \texttt{8 engineers}[/tex]
[tex]\texttt{15 Team Leader} \rightarrow 15 \times \texttt{8 engineers} = \boxed{\texttt{120 engineers}}[/tex]
[tex]\texttt{ }[/tex]
There were 5 project managers for every 50 engineers.
[tex]\texttt{50 engineers} \rightarrow \texttt{5 project managers}[/tex]
[tex]\texttt{120 engineers} \rightarrow (120 \div 50) \times \texttt{5 project managers} = \boxed{\texttt{12 project managers}}[/tex]
[tex]\texttt{ }[/tex]
Grade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point
