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20 October, 13:27

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.

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  1. 20 October, 13:35
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    A) Tn = 149 + (n-1) - 6

    B) 107

    Step-by-step explanation:

    1) 149

    2) 143

    3) 137

    4) 131

    5) 125

    There is a decrease in price of chocolate bar each week. The decrease is in arithmetic progression.

    For arithmetic progression,

    Tn = a + (n-1) d

    A) Formula for the arithmetic sequence that represents the number of sales per week

    Where a = the starting price = 149

    n = number of weeks

    d = difference between following week and the previous week = 143-149=137-143=-6

    Tn = value of sales in n weeks

    Tn = a + (n-1) d

    Tn = 149 + (n-1) - 6

    B) number of sales for the eighth week,

    n = number of weeks=8

    d = difference between following week and the previous week = 143-149=137-143 = - 6

    a = the starting price = 149

    Tn = value of sales in eighth week

    Tn = 149 + (8-1) - 6

    = 149 + (7*-6)

    =149+-42=149-42

    =107

    To confirm

    Week 5 = 125

    Week 6 = 125-6=119

    Week 7 = 119-6=113

    Week 8 = 113-6=107
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