To find the average rate of change from 1970 to 2000, we need to calculate the change in population over the time period and then find the average rate of change.
The population in 1970 was 203 million (p(0)), and the population in 2000 was 281 million (p(3)). The change in population over this time period is 281 - 203 = 78 million.
The time period is 2000 - 1970 = 30 years (3 decades).
Therefore, the average rate of change is the change in population divided by the time period: 78 million / 30 years = 2.6 million per year.
Rounded to the nearest whole number, the average rate of change in the U.S. population from 1970 to 2000 is 3 million people per decade.
the population of the United States from 1970 to 2010 can be modeled by a function where p(t) is the population (in millions) and t is the time in decades since 1970. Some values for this function are shown in the table. (Note:t=0 represents 1970)
t
0
1
2
3
4
p(t)
203
227
249
281
309
What was the average rate of change, in millions of people per decade, in the U.S. population from 1970 to 2000? Round to the nearest whole number.
3 answers
Juan starts a new coffee shop. The table shows the coffee sales at his shop for the first 5 days.
day
1
2
3
4
5
coffee sales
$180
$220
$240
$280
$310
What is the average rate of change in the sales per day between the 2nd and 5th day?
$ blank per day
day
1
2
3
4
5
coffee sales
$180
$220
$240
$280
$310
What is the average rate of change in the sales per day between the 2nd and 5th day?
$ blank per day
To find the average rate of change in the sales per day between the 2nd and 5th day, we need to calculate the change in sales over this time period and then find the average rate of change.
The sales on the 2nd day were $220 and the sales on the 5th day were $310. The change in sales over this time period is $310 - $220 = $90.
The time period is 5th day - 2nd day = 3 days.
Therefore, the average rate of change is the change in sales divided by the time period: $90 / 3 days = $30 per day.
Therefore, the average rate of change in the sales per day between the 2nd and 5th day is $30 per day.
The sales on the 2nd day were $220 and the sales on the 5th day were $310. The change in sales over this time period is $310 - $220 = $90.
The time period is 5th day - 2nd day = 3 days.
Therefore, the average rate of change is the change in sales divided by the time period: $90 / 3 days = $30 per day.
Therefore, the average rate of change in the sales per day between the 2nd and 5th day is $30 per day.
1 answer