Sure, let's carefully examine Kendra's work and identify the errors she made in finding the difference in heights between female and male giraffes.
### 1. The Heights of Giraffes:
- The height of a female giraffe is 4.3 meters.
- The height of a male giraffe is 5.5 meters.
### 2. The Concept:
To find the difference in height between male and female giraffes, we subtract the height of the female giraffe from the height of the male giraffe.
### 3. Understanding Kendra's Equation:
Kendra wrote the equation: [tex]\( d - 5.5 = 4.8 \)[/tex].
First, let's break down what this equation represents according to Kendra's diagram:
- [tex]\( d \)[/tex]: An unknown quantity that Kendra intended to represent.
- [tex]\( 5.5 \)[/tex]: The height of the male giraffe.
Kendra's equation ([tex]\( d - 5.5 = 4.8 \)[/tex]) suggests that:
[tex]\[
d = 4.8 + 5.5
\][/tex]
This would imply that [tex]\( d = 10.3 \)[/tex], which clearly doesn't make sense in the context of our problem, as it isn't related to any height difference calculation we require.
### 4. The Correct Approach:
The correct equation for finding the difference in height between the male and female giraffes should be:
[tex]\[ \text{Height of Male Giraffe} - \text{Height of Female Giraffe} \][/tex]
### 5. Calculation:
[tex]\[
\begin{align*}
\text{Difference in Height} &= \text{Height of Male Giraffe} - \text{Height of Female Giraffe} \\
\text{Difference in Height} &= 5.5 \, \text{m} - 4.3 \, \text{m} \\
\text{Difference in Height} &= 1.2 \, \text{m}
\end{align*}
\][/tex]
### 6. Conclusion:
Kendra made an error in her understanding of the height difference calculation:
- She incorrectly set up the equation as [tex]\( d - 5.5 = 4.8 \)[/tex].
- The correct approach is to directly subtract the height of the female giraffe from the height of the male giraffe, which yields [tex]\( 1.2 \, \text{m} \)[/tex].
So, the correct difference in height between male and female giraffes is [tex]\( 1.2 \, \text{meters} \)[/tex].
