Several years ago, the average earnings for male workers between the ages of 25 and 34 with a high school diploma was $25220. Comparing this value in constant dollars to the average earnings 11 yr later showed that the average earnings have decreased to $23900. Find the average rate of change in dollars per year for this time period.
[ Hint: Use the ordered pairs (0,25220 and 11,23900.]
To find the average rate of change in dollars per year, we need to calculate the difference in average earnings divided by the difference in time.
The initial average earnings, 11 years ago, was $25220.
The final average earnings, today, is $23900.
The difference in average earnings is: $25220 - $23900 = $1320.
The difference in time is: 11 years - 0 years = 11 years.
Therefore, the average rate of change in dollars per year is: $1320 / 11 years = $<<1320/11=120>>120. Answer: \boxed{120}.
So how much money per year is - or + $ dollars per year?
A positive value for the average rate of change in dollars per year indicates an increase in earnings over time. In this case, the average rate of change is $120 per year, so the earnings increased by $120 per year on average.
On the other hand, a negative value for the average rate of change in dollars per year indicates a decrease in earnings over time.
The number of deaths (in
1000
s) in a certain country attributed to COVID-
19
for March and April
2020
is shown in the graph.
Number of COVID-
19
Deaths,
a certain country, March-April
2020
Number of Deaths
1000
s
, 312.268
, 3914.742
, 4422.562
Date
=x1
is March
1
,
2020
(a)Interpret the meaning of the ordered pair
31, 2.268
in the context of this problem.
The ordered pair
31, 2.268
means that on March
31
, there were
thousand COVID-
19
deaths in a certain country.
Actually, the interpretation of the ordered pair (31, 2.268) in the context of this problem is that on March 31, 2020, there were 2.268 thousand (or 2,268) COVID-19 deaths in a certain country.
To find the average rate of change in dollars per year for this time period, we can calculate the slope using the formula:
slope = (change in y)/(change in x)
Given the ordered pairs (0,25220) and (11,23900), we can calculate the change in y and change in x as follows:
change in y = 23900 - 25220 = -1320
change in x = 11 - 0 = 11
Now we can calculate the average rate of change:
slope = (-1320)/(11) = -120
Therefore, the average rate of change in dollars per year for this time period is -$120.
To find the average rate of change in dollars per year, we can use the formula:
Average Rate of Change = (Change in Value) / (Change in Time)
In this case, the change in value is the difference between the average earnings for male workers between the ages of 25 and 34 with a high school diploma several years ago and 11 years later. The change in time is 11 years.
Let's calculate the change in value first:
Change in Value = $23900 − $25220
Now we can plug this value into the formula:
Average Rate of Change = (Change in Value) / (Change in Time)
Average Rate of Change = ($23900 − $25220) / 11
Now we can calculate the average rate of change:
Average Rate of Change = ($-1320) / 11
To find the average rate of change in dollars per year, we divide the change in value by the change in time, which gives us approximately -$120 per year.
Therefore, the average rate of change in dollars per year for this time period is -$120.