Question

What is the equation for Graph B? Use C for hours in class and S for hours studying. Use * to indicate multiplication

Answer 1

`S=(C)/(2)`

Explanation:

From the graph B,

Let the equation of the line representing the relation between hours spent in studying 'S' and hours spent in class 'C' is,

S = mC + b

Where m = Slope of the line

b = y-intercept of the line

We choose two points (2, 1), and (4, 2) lying on the line.

Slope 'm' =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

m =
`(2-1)/(4-2)`

m =
`(1)/(2)`

y-intercept 'b' = 0

Equation of the line will be

S =
`(1)/(2)C`