2) a bacterial culture of population is known to have a growth rate proportional to itself. between 6pm and 7pm, the population triples. at what time will the population become 100 times what it was at 6 p. m.

10:12 PM

Explanation:

If it grew to triple it's own size from 6 PM to 7 PM, we can say the population triples every hour. Therefore:

With t in hours.

For the population to grow 100 times

To solve this we need to find the logarithm of base 3 of 100.

log(3)(100) = 4.2

If it started growing at 6 PM, 4.2 hours later, at 10:12 PM, it will have grown to 100 times the initial size..

truck y has a greater velocity than truck x.

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.