Question

Write an equation in slope-intercept form that represents the data. Show ALL work.

1.)
0
1
2
Sales per
day(x)
Daily pay ($), y
100
105
110
115
11212
I
Equation

Answer 1

y = 5x + 100

Explanation:

Using the x and corresponding y values from the given table.

Let's use the coordinate (0, 100) and (1, 105)

The equation in slope intercept form is expressed as y = mx+c

m is the slope

c is the y-intercept

Slope m = y2-y1/x2-x1

m = 105-100/1-0

m = 5/1

m =5

Get the y intercept

Substitute the slope m = 5 and any point say (0, 100) into the equation

y = mx+c

100 = 5(0) + c

100 = c

c = 100

Get the required equation;

y = mx+c

y = 5x + 100

Hence the equation in slope-intercept form that represents the data is expressed as y = 5x + 100