Answer:
The center of Walden’s data, 3, is less than the center of Drake’s data set, 6.
Step-by-step explanation:
The slope is 2
Hopes this helps in any sort of way
The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:
The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.
Answer:
27 hours
Step-by-step explanation:
Equation of population P(t) = –1710t^2+ 92,000t + 10,000
Find the derivative of the function to find the critical value
dP/dt = -2(1710)t + 92000
= -3420t + 92000
Find the critical value by equating dP/dt = 0
-3420t + 92000 = 0
92000 = 3420t
t = 92000/3420 = 26.90
Check if it really have max value through 2nd derivative
d(dP)/dt^2 = -3420
2nd derivative is negative, hence it has maximum value
So, the time when it is maximum is 26.9 or 27 hours
Slope = (y2 - y1) / (x2 - x1)
(-9,6)....x1 = -9 and y1 = 6
(-3,9)...x2 = -3 and y2 = 9
now we sub and solve
slope = (9 - 6) / (-3 - (-9) = 3 / (-3 + 9) = 3/6 = 1/2 <=
