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

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.