Question

14. Catherine found that as she increases the price of a chocolate bar, the number of sales per week decreased.
Week Number of Sales
1 149
2 143
3 137
4 131
5 125
a. Write a formula for the arithmetic sequence that represents the number of sales per week.
b. Explain how you could use the information to predict the number of sales for the eighth week.

Answer 1

Using an arithmetic sequence, we have that:

a) The formula is: $a_n = 149 - 6(n - 1)$

b) With n = 8, we have that 107 bars were sold in the eight week.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

$a_n = a_1 + (n - 1)d$

In which $a_1$ is the first term.

Given the table, the first term and the common difference are, respectively, given by:

$a_1 = 149, d = 143 - 149 = -6$.

Hence the equation is:

$a_n = 149 - 6(n - 1)$

Then, the number of sales in the 8th week is given by:

$a_8 = 149 - 6(8 - 1) = 107$

Mopre can be learned about arithmetic sequences at https://brainly.com/question/6561461

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