The length of the model is 11.75 or [tex]11 \frac{3}{4}[/tex] inches
The scale factor is [tex]\frac{2}{1}[/tex]
Step-by-step explanation:
Given data:
Actual length of bird:
[tex]5\left(\frac{7}{8}\right)=\frac{(5 \times 8)+7}{8}=\frac{47}{8}=5.875 \text { inches }[/tex]
Ratio: 1 in = 0.5 in
From this, it is clearly showed that the length of the model would be twice that of the length of original bird. The ratio of two corresponding lengths in two comparable geometric shapes is called a scale factor. Therefore, scale factor can find by,
scale factor: [tex]\frac{1 \mathrm{inch}}{0.5 \mathrm{inch}}=\frac{2}{1}[/tex]
To find the length of the model, the equation can be framed as below,
[tex]\text {ratio given}=\frac{\text {length of the model}}{\text {length of the actual bird }}[/tex]
[tex]\frac{1\ \mathrm{inch}}{0.5\ \mathrm{inch}}=\frac{x\ \mathrm{inch}}{5.875\ \mathrm{inch}}[/tex]
0.5 x = 5.875
[tex]x=\frac{5.875}{0.5}=11.75[/tex] or [tex]11 \frac{3}{4}[/tex] inches
