Question

A concert ticket that originally cost $18.50 is on sale for $14.00. What is the percent of decrease, rounded to the nearest tenth?

Answer 1

24.3%

Explanation:

The decrease in cost = $18.50 - $14.00 = $4.50

To express this as a percentage decrease we write.

`color(blue)" the decrease as a fraction of original cost and multiply by 100"`

`rArr" % decrease"=4.5/18.5xx100/1=(4.5xx100)/18.5=24.324...`

The tenths value is the first digit after the decimal point ie. 3

To round this we require to consider the digit immediately after ie. the hundredths.

• If the value ≥ 5 , then 3 'rounds up' to 4.

• If the value < 5 , then the 3 stays as 3.

The value of the digit in hundredths column is 2. Hence 3 stays.

hence percentage decrease = 24.3% (to the nearest tenth)