Question

A farm grew 19.8 tons of wheat in 2013. The farm’s wheat output increased by 9.8% from 2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a strategy from estimating the total output of wheat, in tons, in 2015?

A)20+10+5
B)20(10)(5)
C)20+1.1+1.05
D)20(1.1)(1.05)

Answer 1

D

Explanation:

For simpler calculation, we can round up the numbers.

Let's take 19.8 as 20, 9.8% as 10%, and 5.1% as 5%.

In 2014, 20 tons increased by 10%, so we would need to multiply 20 by 1.10 (this is 10% increase).

In 2015, we would need to increase the quantity "20(1.10)" by 5%, which means we would multiply that quantity by 1.05.

So, now we have 20(1.10)(1.05). This is equal to option D.