volume_mute

Botany

publish date2024/05/09 12:11:00 UTC

volume_mute

To determine the effects of smog on tree development, a scientist cut down a pine tree and measured the width of the growth rings for the last two years.

The measure of the first year was \(\frac{1}{16}\) in and the measure of the second year on top of the first year was \(\frac{5}{32}\) in

  1. What was the growth over this two-year period?
  2. What is the difference in the widths of the two rings?

Use "/" to write the fraction in your answer e.g. 1/2 or 3/4

Correct Answer

(1) 7/32
(2) 3/32

Explanation

What is given in this problem is the widths of the two rings

width 1 for the first year= \(\frac{1}{16}\)

width 2 from the last measure point tsken on the second year = \(\frac{5}{32}\)

Let's find the LCD first, which is 32

We can write the first width as = \(\frac{1}{16} \cdot 22 = \frac{2}{32}\)

  1. The growth over this two-year period can be found by adding both widths
    • = \(\frac{5}{35} + \frac{2}{32} = \frac{7}{32}\)
  2. The difference in the widths of the two rings is
    1. = \(\frac{5}{32} - \frac{2}{32} = \frac{3}{32}\)

Reference

Mathematics for college students, go-math-science.com


Quizzes you can take where this question appears