Question

In February, Yvonne’s hair was 47.0cm long. She continued to measure her hair each month to track its growth. In March, it was 50.1 cm; in April, 53.2 cm; in May, 56.3 cm; and in June, 59.4 cm. Use an arithmetic series to find the common difference and determine the rate of hair growth.

Answer 1

Answer:

The rate of Yvone's hair growth is 3.1 cm per month.

Step-by-step explanation:

WIth the data from Yvonne's hair we can create a sequence that goes as follows:

A = {47, 50.1, 53.2, 56.3, 59.4,...}

This is an arithmetic sequence, the numbers are related to each other by a common difference, in other words to find the next number we just need to add a constant "r". To find this constant we can subtract any adjacent numbers on this sequence, this is shown below:

r = 50.1 - 47 = 3.1

r = 53.2 - 50.1 = 3.1

r = 56.3 - 53.2 = 3.1

and so on.

The rate of Yvone's hair growth is 3.1 cm per month.