Question

based on the data in the table, how many students would you expect to be in the band in 2018?

year	number of band members
2015	46
2016	54
2017	64

your answer

Explanation:

Step1: Find the differences between consecutive years

$46 - 40=6$, $54 - 46 = 8$, $64 - 54=10$
The differences are increasing by 2 each year.

Step2: Predict the next difference

The next difference should be $10 + 2=12$.

Step3: Calculate the expected number for 2018

$64+12 = 76$

Answer:

76