Let equal the average monthly salary of families in a certain city in year t. Several values are given in the table below. Estimate and interpret . t
1995
2000
2005
2010 $1700
$2000
$2200
$2450
A) ; The rate at which the average monthly salary is increasing each year in 2010 is increasing by $2 per year.
B) ; The average monthly salary is increasing by $2 per year in 2010.
C) ; The rate at which the average monthly salary is increasing each year in 2010 is increasing by $50 per year.
D) ; The average monthly salary is increasing by $50 per year in 2010.

Question

Let  equal the average monthly salary of families in a certain city in year t. Several values are given in the table below. Estimate and interpret  . t
1995
2000
2005
2010  $1700
$2000
$2200
$2450
A) ; The rate at which the average monthly salary is increasing each year in 2010 is increasing by $2 per year. 
B) ; The average monthly salary is increasing by $2 per year in 2010. 
C) ; The rate at which the average monthly salary is increasing each year in 2010 is increasing by $50 per year. 
D) ; The average monthly salary is increasing by $50 per year in 2010.

Quizplus · Accepted Answer

To estimate the rate at which the average monthly salary is increasing each year in 2010, we need to calculate the difference between the average monthly salaries in 2010 and 2005, and divide by the number of years between the two. This gives us:

($2450 - $2200) ÷ 5 = $50 ÷ year

So the rate at which the average monthly salary is increasing each year in 2010 is $50 per year. However, we are asked to estimate the rate at which this rate is increasing each year, which means we need to calculate the difference between the rate in 2010 and the rate in 2005, and divide by the number of years between the two. This gives us:

($50 - $0) ÷ 5 = $10 ÷ year

So the rate at which the rate of increase in the average monthly salary is increasing each year in 2010 is $10 per year, or in other words, the rate at which the average monthly salary is increasing each year in 2010 is increasing by $2 per year. Therefore, the best choice is A).

Let Equal the Average Monthly Salary of Families in a Certain