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

     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:
 
$a= \frac{\Delta y}{\Delta x} \\ a= \frac{(8-1)}{(14-0)} \\ a= \frac{1}{2}$

     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:

$\boxed {f(x)= \frac{x}{2}+1}$

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

Answer 2

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