The average rate of change in a function from a to b is
.
For the left function, from x = 4 to x = 5, the rate of change is
.
For the right function, the rate of change is

Using a ratio to compare the right function's growth rate with that of the left function, you get
.
The right function is growing approximately 21 times faster than the left function (over the interval from 4 to 5).
Answer:
25.92 feet
Step-by-step explanation:
In the first minute, the hot air balloon rises 120 feet.
And it is given that, the balloon rises in a minute only 60% of the height it rose in the previous minute.
Therefore, in the second minute, the balloon rises by (120×0.6) =72 feet
And in the third minute, the balloon rises by (72×0.6) =43.2 feet
Hence, in the fourth minute, the balloon rises by (43.2 ×0.6) =25.92 feet (Answer)
Answer:
-45/2
Step-by-step explanation:
67 1/2 * (-1/3)
67 1/2 = 135/2
So 135/2*1/3=45/2
45/2*-1=-45/2
Answer:
x < -11/6.
Step-by-step explanation:
−12x + 13 > 35
-12x > 35 - 13
-12x > 22
Divide both sides by -12 and invert the inequality sign:
x < -22/12
x < -11/6.