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Help for Exercises 49-55 on page 594
For Exercises 49-55, you know that each parent tiger contributes one normal color gene, C, and one white color
gene, c. Therefore each gene represents half, or 0.5, of the total color genetic makeup. Together, each parent tiger's
genetic makeup for color can be modeled by the binomial 0.5C + 0.5c. Notice that the coefficient of each
variable is consistent with the fact that each color gene represents 50% of the tiger's genetic makeup related to this
particular trait. If you square this binomial, the result is a trinomial, which shows the different color outcomes for
the offspring of two such tigers. Each term of the trinomial represents the three different combinations of C
and c.
For Exercises 53-55, you may want to use numerical values to investigate what happens when there is a loss or
a gain. For example, suppose an investment of $1500 loses 4% one year, then gains 4% the following year. The first year
can be modeled by 1500(1 - 0.04). To write a model for the second year, you need to use the result of the first year as
P. So, the second year is [1500(1- 0.04)](1 + 0.04). Now use a similar method to write a model using variables
instead of numbers.
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