Question

Taryn conducted a science experiment on saturation. She added sugar to a sugar-water solution at different intervals. The graph shows how much sugar was in the solution at different times.

Complete the equation that represents Taryn’s situation.

y = x +

Answer 1

Answer: I took the test and the answer was: y= 1/2x+1.

Answer 2

The function graph is a straight, so the function is the first-degree. The first-degree polynomial funciton of can be generalized as follows:


`f(x)=ax+b`

To find the unkwnons, we need to extract two chart points. I chose these :(0;1), (14;8).

The slope (a) is give by:


`a= (\Delta y)/(\Delta x) \\ a= ((8-1))/((14-0)) \\ a= (1)/(2)`

The linear correlation coefficient of the equation (b) is obtained when the variable is zero, therefore:


`f(x)=ax+b \\ 1=0+b \\ b=1`

Throught it we have sought the equations is given by:


`\boxed {f(x)= (x)/(2)+1}`

If you notice any mistake in my english, please let me know, because i am not native.