30)

31)
a simple case for that would just be, using an equation with an imaginary value, let's do so

when you get a "solution" or zero with an "i" or an imaginary value, is just a way to say, there's really no solution, the function never touches the x-axis
The equation of the line in the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Given the slope 3, m = 4
Given the y-intercept (0, 3), b = 3
Then, the equation of the line is:
y = 4x + 3
Answer:
(a) 
(b)300 Hours
(c)150 Hours
(d)Reduced and halved.
(e) 
Step-by-step explanation:
(a) The number of hours worked is inversely proportional to the wage.
This is written as:

(b)If the student earns $8 an hour
w=$8

(c)When the wage per hour =$16
When w=$16

The number of hours reduced and is in fact halved.
(d)

The effect of raising the wage from $w to $2w per hour is that the number of hours required to work is reduced and exactly halved.
(e)The wage per hour is inversely proportional to the number of hours.
In fact,

I’m sorry I don’t know what you are asking
Edit: 33% is not

, therefore my solution is wrong. The correct answer is 0.33 x 496, which is $163.68
The following is the original solution, which is incorrect.
33% =

. Multiply the bonus of $496 by

to get the solution of

, or 165 and

Therefore the solution is $165.33