SOLUTION: 1. Find the equation of the line passes through the point (3, −2) and is perpendicular to the line 3x − 2y = 4. 2. An environmental study of a certain community suggests tha

Algebra ->  Functions -> SOLUTION: 1. Find the equation of the line passes through the point (3, −2) and is perpendicular to the line 3x − 2y = 4. 2. An environmental study of a certain community suggests tha      Log On


   



Question 1173792: 1. Find the equation of the line passes through the point (3, −2) and is perpendicular to the line 3x − 2y = 4.
2. An environmental study of a certain community suggests that the average daily level of pollution in the air will be Q(p) = √ 0.6p + 20 units when the population is p thousand. It is estimated that after t years the population will be p(t) = 9 + 0.5t^(2) thousand.
(a) Express the level of pollution in the air as a function of time.
(b) compute the level of pollution after 5 years from now.
(c) When will the pollution level reach 10 units?

Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the given line is 2y=3x-4 or y=1.5x-2 slope 1.5 or 3/2
perpendicular line has slope -2/3, the negative reciprocal of the first line.
point slope formula y-y1=m(x-x1), m slope (x1, y1)point
y+2=(-2/3)(x-3)
y=-(2/3)x+1
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C1.5x-2%2C-%282%2F3%29x%2B1%29

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!
1. Find the equation of the line passes through the point (3, −2) and is perpendicular to the line 3x − 2y = 4.
2. An environmental study of a certain community suggests that the average daily level of pollution in the air will be Q(p) = √ 0.6p + 20 units when the population is p thousand. It is estimated that after t years the population will be p(t) = 9 + 0.5t^(2) thousand.
(a) Express the level of pollution in the air as a function of time.
(b) compute the level of pollution after 5 years from now.
(c) When will the pollution level reach 10 units?
Only 1 (ONE) question per post! 
1. Correct answer: Equation: