2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of typhoon, the rain fell at a constant rate of 25mm per
hour.
The typhoon slows down for an hour and started again at a constant rate of 20 mm
per hour for the next two hours. Write a piecewise function that models the amount
of rainfall as function of time.

The answer is below

Step-by-step explanation:

Let t represent the time in hour and A(t) represent the amount of accumulating rainfall at time t.

In the first three hours the rain fell at a constant rate of 25mm per

hour, hence:

A(t) = 25t     0 ≤ t ≤ 3

The rain then slows down and remains constant at 75 mm [i.e. 25(3)] for an hour.

The rain increases at a rate of 20t from 4 ≤ t ≤ 6. Hence the piecewise equation is given as:

The two-way table of column relative frequencies below shows data on how often a teenager's parents monitor their screen time and whether or not the teenager has a time limit for their daily screen time for teenagers in West Lake County.

Frequency of monitored screen time vs. time limit for screen time

Time limitNo time limit

Never0.180.180, point, 180.500.500, point, 50

Occasionally0.420.420, point, 420.310.310, point, 31

Usually0.290.290, point, 290.150.150, point, 15

Always0.110.110, point, 110.030.030, point, 03

Column total1.001.001, point, 001.001.001, point, 00

Based on the data, which of the following statements must be true for teenagers in West Lake County?

Choose 1

Choose 1

(Choice A)

A

The parents of a teenager with a time limit are more likely to never monitor their screen time than the parents of a teenager with no time limit.

(Choice B)

B

A teenager whose parents occasionally monitor their screen time is more likely to have a time limit.

(Choice C)

C

A teenager whose parents always monitor their screen time is more likely to have a time limit.

(Choice D)

D

The parents of a teenager with a time limit are more likely to usually monitor the screen time than to always monitor it.

Step-by-step explanation: