Question

Sam is trying to lose weight and George is trying to gain weight. 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 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. what is the x value when f(x)=g(x)?

Answer 1

240-2x=180+4x
60=6x
x=10

Answer 2

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.