Question

Farrah predicts that the average text messages sent by her family will be 2042 messages each of the last 6 months in 2019. The number of text messages used during 5 of those months were 2800, 2481, 2105, 1975, 2732. How many messages must be sent during the sixth month for her prediction to be true?

a) 1756
b) 1986
c) 1837
d) 2010

Answer 1

To find the number of messages that must be sent during the sixth month, calculate the total number of messages sent in the first five months and subtract it from the predicted average for the six months.

Step-by-step explanation:

To find out how many text messages must be sent during the sixth month for Farrah's prediction to be true, we need to calculate the total number of messages sent in the first five months and subtract it from the predicted average for the six months.

The total number of messages sent in the first five months is 2800 + 2481 + 2105 + 1975 + 2732 = 12093.

Therefore, the number of messages that must be sent in the sixth month is 2042 * 6 - 12093 = 12252 - 12093 = 159.

So, option a) 1756 is the correct answer.