Answer :
From the statement we know that:
0. Steve is using the scale of 2in : 5ft (model dimensions : real-life dimensions).
,1. The dimensions of the desk are w = 6ft wide and t = 3ft tall.
From point 1 we compute the proportion r between the dimensions in the model and the real-life dimensions:
[tex]r=\frac{2in}{5ft}\text{.}[/tex]Now, using the proportion r we compute the dimensions of the model multiplying the real-life dimensions of point 2 by the proportion r:
[tex]\begin{gathered} w_{\text{model}}=r\cdot w_{\text{real}-\text{life}}=\frac{2in}{5ft}\cdot6ft=\frac{12}{5}\cdot in=2.4in, \\ t_{\text{model}}=r\cdot t_{\text{real}-\text{life}}=\frac{2in}{5ft}\cdot3ft=\frac{6}{5}\cdot in=1.2in, \end{gathered}[/tex]where we used a calculator to compute the fractions and we got:
• 12/5 = 2.4,
,• 6/5 = 1.2.
Answer
- The width of the desk in the model is 2.4in.
- The tall of the desk in the model is 1.2in.
0.