Answer: a) the dependent variable is y, the amount he earns depending on x, the independent variable. x is the number of hours.
b) y = 5x + 10
c) Bobby earns $27.50 for the 3.5 hour job
Step-by-step explanation: use the function y=5x + 10 substitute 3.5 for x
y = 5(3.5) + 10
y = 17.5 + 10
y= 27.5
2x^2 + 10x + 8
=2( x + 1) (x + 4)
From calculus, to determine the maxima or minima of the graph, get the derivative of the equation and equate to zero. So, we derive first the equation of the graph and equate to zero.
C = 0.25x² - 80x + 30000
dC/dx = 0 = 0.5x - 80 + 0
0.5x = 80
x = 80/0.5
x = 160 units
The minimum cost (although not asked) is:
C = 0.25(160)² - 80(160) + 30000
C = $23,600
The answer is 160 units.
Working together three workers would take 1 hour 36 minutes to finish the job
<em><u>Solution:</u></em>
Given that first worker can finish the job in 8 hours
So in one hour, first worker can do
th of the work
The second worker can finish the job in 4 hours
So in one hour, second worker can do
th of the work
The third worker can also finish the job in 4 hours
So in one hour, third worker can do
th of the work
<em><u>The three workers working together in 1 hour can do:</u></em>

The three worker can thus do
th of the work in one hour
Hence the three of them together can finish the work in
hours
hours
Thus working together three workers would take 1 hour 36 minutes to finish the job
Answer:
21.50 to the nearest hundredth.
Step-by-step explanation:
This is (704.5 * 125) / (64)^2
= 88062.5 / 4096
= 21.4998