The average rate of change of the function is: 3.2.
<h3>What is the Average Rate of Change for a Function?</h3>Average rate of change =
Given the function, , the average rate of change over the interval of x = 2 to x = 6 would be calculated as shown below:
a = 2
b = 6
f(a) = f(2) = 3.2(2) + 25 = 31.4
f(b) = f(6) = 3.2(6) + 25 = 44.2
Average rate of change = (44.2 - 31.4)/(6 - 2) = 3.2.
Learn more about average rate of change on:
percent of increase for a population that changed from 25,000 to 30,000
Increase in population = 30,000 - 25,000 = 5000
So, the increase in population is 5000
To find percent of increase , we divide the increase in population by initial population.
So percent of increase = * 100
= 0.2 * 100
= 20 %
20% of increase for a population that changed from 25,000 to 30,000.
Solution:
we are given that
The magnitudes of the moon and Sirius are -12.5 and -1.44 respectively.
we have been asked to find approximately how many times is the moon brighter than Sirius?
The word magnitude is used by the scientist to describe the brightness of moon/star/object etc.
So we can find the brightness by dividing the given values. so we get
Hence we can say
The moon is 8.68 times brighter than Sirius.