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).
The time take for the cyclist to travel from Fort Worth to Fresno is
Explanation:
It is given that the distance from Fort Worth to Fresno is 1,530 miles.
The average speed of the cyclist is 17 miles per hour.
The time travelled by the cyclist can be determined using the formula,
Substituting the value of distance and speed, we get,
Dividing both sides by 17, we get,
Thus, the time take for the cyclist to travel from Fort Worth to Fresno is