QuestionAugust 8, 2025

Example 6 49. BIOLOGY Lavania is studying the growth of a population of fruit flies in her laboratory. After 6 days, she had nine more than five times as many fruit flies as when she began the study. If she observes 20 fruit flies on the first day of the study, write and evaluate an expression to find the population of fruit flies Lavania observed after 6 days. a. Write an expression for the population of fruit flies Lavania observed after 6 days. b. Find the population of fruit flies Lavania observed after 6 days.

Example 6 49. BIOLOGY Lavania is studying the growth of a population of fruit flies in her laboratory. After 6 days, she had nine more than five times as many fruit flies as when she began the study. If she observes 20 fruit flies on the first day of the study, write and evaluate an expression to find the population of fruit flies Lavania observed after 6 days. a. Write an expression for the population of fruit flies Lavania observed after 6 days. b. Find the population of fruit flies Lavania observed after 6 days.
Example 6
49. BIOLOGY Lavania is studying the growth of a population of fruit flies in her
laboratory. After 6 days, she had nine more than five times as many fruit flies as
when she began the study. If she observes 20 fruit flies on the first day of the
study, write and evaluate an expression to find the population of fruit flies Lavania
observed after 6 days.
a. Write an expression for the population of fruit flies Lavania observed after 6 days.
b. Find the population of fruit flies Lavania observed after 6 days.

Solution
4.5(203 votes)

Answer

109 Explanation 1. Define the expression Let x be the initial number of fruit flies. The expression for the population after 6 days is 5x + 9. 2. Substitute the initial value Given x = 20, substitute into the expression: 5(20) + 9. 3. Calculate the result Compute 5 \times 20 + 9 = 100 + 9 = 109.

Explanation

1. Define the expression<br /> Let $x$ be the initial number of fruit flies. The expression for the population after 6 days is $5x + 9$.<br /><br />2. Substitute the initial value<br /> Given $x = 20$, substitute into the expression: $5(20) + 9$.<br /><br />3. Calculate the result<br /> Compute $5 \times 20 + 9 = 100 + 9 = 109$.
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