Answer: x=10
Step-by-step explanation:
Given : Sams weight in pounds can be represented by the function \(f(x)=240-2x\) , where x is the number of weeks since Sam started losing weight.
George's weight in pounds can be represented by the function \(g(x)=180+4x\), where x is the number of weeks since George starting gaining weight.
When \(f(x)=g(x)\)
\(\Rightarrow\ 240-2x=180+4x\)
To find x, first we add 2x on both sides , we get
\(240=180+6x\)
Subtract 180 from both sides , we get
\(60=6x\)
Divide both sides by 6, we get
\(10=x\) or \(x=10\)
Hence, the required value of x=10.
