Question

I will medal the best response.
I have an idea as to how to solve this, but not entirely sure my answer works. And if so, I'm missing a part. Please help? :)

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.

(graph in the replies link)

Answer 1

\[\frac{ 8.5 - 1 }{ 15 - 0?} = \frac{ 7.5 }{ 15 } = 0.5?\]

Answer 2

But I don't know how to continue? And if this is even correct?

Answer 3

@jabez177 @nincompoop

Answer 4

@Serenity74

Answer 5

@Nnesha

Answer 6

@jhonyy9

Answer 7

when the given is graph
first you should find the y-intercept
what is the y-intercept ?

Answer 8

what you did is find the slope
slope is change in y divided by change in x
between any two points on the line.

In your case , you used the points (15,8.5) and (0,1)
and the change in y is 8.5-1 = 7.5
and the change in x is 15-0 = 15
and of course you get a slope of 0.5

Answer 9

slope is correct. good job!

Answer 10

I noticed that no matter which two points I pick, I will always get 0.5.

Answer 11

yes. slope =rise/run
so line is increasing by same number 1/2

Answer 12

the "slope-intercept" form of the equation for a line is
y= mx + b

where m is the slope. b is the y-intercept (where the line crosses the y-axis)
you found m=0.5, so you have
y= 0.5 m + b

you can read off b from the graph (it is 1)
or you can "put in" any (x,y) point and solve for b

Answer 13

So I did correct in filling the answer in as " y = 0.5 + 1"?

Answer 14

almost,
y= 0.5x + 1

Answer 15

Oh, right. The "x" was already included. I forget it haha

Answer 16

S y = 0.5 x + 1 is the correct answer.

Answer 17

The equation of the line that passes through (0, 1) and (12, 7) is

Y = 1/2 x + 1 .

Answer 18

the idea is for any x value you can figure out the y value using that formula
you can check it: you can see (I hope) (6,4) is on the line
if you put in 6 for x, you should get 4 "out" of the equation

Answer 19

How do I assign medals to two people if I can only "best response" one person?