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Home > Algebra 1 > Chapter 10 > 10.3 Special Products of Polynomials > 10.3 Problem Solving Help
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10.3 Problem Solving Help

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.