Question

a furniture company is working on a model of a table that has a scale of 3 in. : 2 ft. the length of the model is 6\frac{1}{2} in. what is the actual length of the table? o 4\frac{1}{3} ft o 8 ft o 9\frac{3}{4} ft o 13 ft

Explanation:

Step1: Set up proportion

Let $x$ be the actual length in feet. The proportion is $\frac{3}{2}=\frac{6.5}{x}$.

Step2: Cross - multiply

$3x = 2\times6.5$.

Step3: Simplify right - hand side

$3x=13$.

Step4: Solve for $x$

$x=\frac{13}{3}=4\frac{1}{3}$ ft.

Answer:

$4\frac{1}{3}$ ft