Question

jasmine asked her classmates to name all the types of trees they found while on a field trip at a local park.
$\frac{1}{7}$ reported finding a birch tree.
$\frac{7}{9}$ reported finding a pine tree.
$\frac{1}{4}$ reported finding a maple tree.
$\frac{11}{23}$ reported finding an oak tree.
based on the results, which statements are true?
$circ$ most students found a pine tree.
$circ$ more students found a maple tree than a pine tree.
$circ$ more students found a birch tree than an oak tree.
$circ$ more students found a pine tree than a birch tree.
$circ$ more students found a maple tree than an oak tree.

Explanation:

To determine the true statements, we compare the fractions:

1. Check "Most students found a pine tree":

A majority requires a fraction \(>\frac{1}{2}\). \(\frac{7}{9} \approx 0.78\), which is \(> 0.5\). So this is true.

1. Check "More students found a maple tree than a pine tree":

Compare \(\frac{1}{4} = 0.25\) and \(\frac{7}{9} \approx 0.78\). \(0.25 < 0.78\), so this is false.

1. Check "More students found a pine tree than a birch tree":

Compare \(\frac{7}{9} \approx 0.78\) and \(\frac{1}{7} \approx 0.14\). \(0.78 > 0.14\), so this is true.

1. Check "More students found a birch tree than an oak tree":

Compare \(\frac{1}{7} \approx 0.14\) and \(\frac{11}{23} \approx 0.48\). \(0.14 < 0.48\), so this is false.

1. Check "More students found a maple tree than an oak tree":

Compare \(\frac{1}{4} = 0.25\) and \(\frac{11}{23} \approx 0.48\). \(0.25 < 0.48\), so this is false.

Answer:

• Most students found a pine tree.
• More students found a pine tree than a birch tree.