Ascientist is performing an experiment with a certain type of mold which is spreading every quarter of an hour. the function below represents the area covered by the mold after t hours.

the area covered by mold by %

first blank: decreases, increases
second blank: 104, 4, 17, 8
third blank: every 15 minutes, every hour, every 4 minutes, every 30 minutes

fill in each blank with one of the options.

"The area covered by mold increases by 4 % every 15 minutes."

Step-by-step explanation:

Since the mold is "spreading", the area is obviously, increasing.

By how much???

We can look at the function. The increasing factor is (1.04). The increasing factor is the part OVER 1, we have 4 units OVER 1, so it is increasing by 4%.

Since, the mold is spreading every QUARTER OF AN HOUR, this means 1/4th of an hour.

An hour is 60 minutes, 1/4 of 60 = 15 minutes. Hence, it is increasing every 15 minutes.

To complete the statement:

The area covered by mold increases by 4 % every 15 minutes.

answer: y = -12x + 108

step-by-step explanation: do (y = m x+b) formula.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2