Write all linear equations in slope-intercept form.
-With 20.5% commitment, a company can clean up 35% of an acid rain forest. With 23.5% commitment, it can clean up 62% of an acid rain forest. Find a linear equation that models the
Percent cleanup for x percent commitment.
A) y = x + 27
B) y = 9x - 149.5
C) y = 9x + 149.5
D) y = 3x + 27

Question

Quizplus · Accepted Answer

To find the linear equation in slope-intercept form (y = mx + b), we first calculate the slope (m) using the given points (20.5, 35) and (23.5, 62). The slope m = (62 - 35) / (23.5 - 20.5) = 27 / 3 = 9. To find the y-intercept (b), we can use one of the points: 35 = 9(20.5) + b, solving for b gives b = 35 - 9(20.5) = 35 - 184.5 = -149.5. Thus, the equation is y = 9x - 149.5.

Write All Linear Equations in Slope-Intercept Form