In Smithville there were 242 teachers in 1990 and 323 teachers in 2000. Find the percent change in the number of teachers in Smithville during this time

Question

 Round to the nearest 10th of a percent 

Answer 1

the years 1990 and 2000 are extra info

 

we do not need them to calculate the percent change

 

Since our teachers increase from 242 to 323 teachers then we are looking for a percent of increase

 

When looking for a percent of increase, we need to be given or calculate the amount of increase.

 

We can do this by simple subtraction of 323 - 242 = 81 = amount of increase

 

Percent increase and decrease problems can use the following basic form to solve:

 

Amount = percent times base

 

A = rB

 

A = the amount of increase

r = the percent increase or decrease

B will always be the original. Since we increased from 242 to 323, 242 is the original

 

So we have,

 

81 = 242(r)

 

Solve be dividing both sides be 242

 

81/242 = .3347107438 = 33.47107438% increase

 

ANSWER: about a 33.5% increase