What is the area of a room in feet scaled at 1:20 when the measurements are 4 inches wide and 5 inches in length

666.67 ft^2

Step-by-step explanation:

We start with a 4x5 scale room

We then use the 1:20 scale to multiply the 4 and the 5 by 20

4*20=80

5*20=100

We now have the dimensions of the actual room, 80in.x100in.

Area=length*width

A=100*80

A=8000 in^2

We are not done yet, though. To get feet, you convert inches to feet. 1 foot=12 inches.

8000/12=666.667, or 666.67, or 667, depending what you would round to

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).