Question

@will.h
The grade a student makes on a test varies directly with the amount of time the student spends studying. Suppose a student spends 6.5 hours studying and makes a grade of 84% on the test. What is an equation that relates the grade earned on a test, g, with the amount of time spent studying, t, in hours? What is the graph of your equation?

a. http://prntscr.com/db15px
b. http://prntscr.com/db15uo
c. http://prntscr.com/db15ze
d. http://prntscr.com/db1653

Answer 1

Amount of time is the x values. The grade earned is the y values. Thus since the x directly effects the y values. And since all of the options are infact a straight line then clearly we're having a linear function in here.

Answer 2

Right

Answer 3

Good thing is that we already know that the line passes through the origin.
And we have the point (6.5,84)
We can find the slope and the graph.

(0,0)(6.5,84)
Slope = Y2-Y1/X2-X1
Slope = 12.9

So we can use now
Y-y1 = m(x -x1)
Y - 84 = 12.9(x - 6.5)
Y -84= 12.9x -83.85
Y = 12.9x + 0.15

It would be D according to that

Answer 4

oh! Okay thanks so much!!!