Answer :
Sure, let's work through the problem step-by-step to understand the solution.
The problem gives us a linear relationship between the length of someone's femur (denoted as [tex]\( f \)[/tex]) and their expected height (denoted as [tex]\( h \)[/tex]). The formula provided is:
[tex]\[ h = 62.6 + 2.35f \][/tex]
We are asked to find the meaning of the [tex]\( h \)[/tex]-value when [tex]\( f = 49 \)[/tex].
1. Identify What We Need to Find:
We want to determine the expected height ([tex]\( h \)[/tex]) for someone with a femur length ([tex]\( f \)[/tex]) of 49 centimeters.
2. Substitute the Given Femur Length into the Formula:
Substitute [tex]\( f = 49 \)[/tex] into the formula:
[tex]\[ h = 62.6 + 2.35 \times 49 \][/tex]
3. Perform the Calculation Step-by-Step:
- First, multiply [tex]\( 2.35 \)[/tex] by [tex]\( 49 \)[/tex]:
[tex]\[ 2.35 \times 49 = 115.15 \][/tex]
- Then, add this result to [tex]\( 62.6 \)[/tex]:
[tex]\[ h = 62.6 + 115.15 \][/tex]
[tex]\[ h = 177.75 \][/tex]
4. Interpret the Result:
When the femur length ([tex]\( f \)[/tex]) is 49 centimeters, the expected height ([tex]\( h \)[/tex]) for a person is 177.75 centimeters.
So, the meaning of the [tex]\( h \)[/tex]-value when [tex]\( f = 49 \)[/tex] is:
[tex]\[ \text{The expected height for someone with a femur length of 49 centimeters is 177.75 centimeters.} \][/tex]
This matches the context given in the problem and completes our solution.
The problem gives us a linear relationship between the length of someone's femur (denoted as [tex]\( f \)[/tex]) and their expected height (denoted as [tex]\( h \)[/tex]). The formula provided is:
[tex]\[ h = 62.6 + 2.35f \][/tex]
We are asked to find the meaning of the [tex]\( h \)[/tex]-value when [tex]\( f = 49 \)[/tex].
1. Identify What We Need to Find:
We want to determine the expected height ([tex]\( h \)[/tex]) for someone with a femur length ([tex]\( f \)[/tex]) of 49 centimeters.
2. Substitute the Given Femur Length into the Formula:
Substitute [tex]\( f = 49 \)[/tex] into the formula:
[tex]\[ h = 62.6 + 2.35 \times 49 \][/tex]
3. Perform the Calculation Step-by-Step:
- First, multiply [tex]\( 2.35 \)[/tex] by [tex]\( 49 \)[/tex]:
[tex]\[ 2.35 \times 49 = 115.15 \][/tex]
- Then, add this result to [tex]\( 62.6 \)[/tex]:
[tex]\[ h = 62.6 + 115.15 \][/tex]
[tex]\[ h = 177.75 \][/tex]
4. Interpret the Result:
When the femur length ([tex]\( f \)[/tex]) is 49 centimeters, the expected height ([tex]\( h \)[/tex]) for a person is 177.75 centimeters.
So, the meaning of the [tex]\( h \)[/tex]-value when [tex]\( f = 49 \)[/tex] is:
[tex]\[ \text{The expected height for someone with a femur length of 49 centimeters is 177.75 centimeters.} \][/tex]
This matches the context given in the problem and completes our solution.
