It took 44 hours of analysis to complete the first phase,but the second phase was done in 42 hours.If this learning rate continues,then the 8th analysis should take a mere:
A)36 hours and 26 minutes,give or take.
B)37 hours and 36 minutes,give or take.
C)38 hours and 16 minutes,give or take.
D)39 hours and 6 minutes,give or take.

Question

Quizplus · Accepted Answer

We are dealing with a linear progression, so we can use the formula:

y = mx + b

where y is the time, x is the phase number, m is the rate of change, and b is the initial time.

Using the first two data points, we can find m:

44 = m(1) + b 
42 = m(2) + b

Subtracting the second equation from the first, we get:

2 = m

Now we can use b to find the time for any phase:

44 = 2(1) + b 
b = 42

So the formula for the time it takes to complete phase x is:

y = 2x + 42

To find the time for the 8th phase, plug in x = 8:

y = 2(8) + 42 
y = 58

So the 8th analysis should take about 38 hours and 16 minutes, give or take.

It Took 44 Hours of Analysis to Complete the First