Andrew owns a company that makes two different kinds of hot sauce and sells them to restaurants and stores. Both sauces are made from the same ingredients, but they vary in the number of green peppers and hot chili peppers used. Sauce I : yeilds 1 pint
6 green peppers
4 hot chili peppers
Sauce II: yields 1 pint
3 green peppers
10 hot chilli peppers

1. Andrew buys 975 green peppers and 1,250 hot chili peppers. He uses all of those peppers to make the two types of sauce.
Part A
Write a system of equations that shows how Andrew can use the peppers to make x pints of Sauce I and y pints of Sauce II. Then graph (on the next slide) and solve the system. Explain what information is given by the solution of the system.
Part B
How many of each type of pepper will Andrew use for each type of sauce? Explain.

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above

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