[tex]x =\frac{4}{3}inch[/tex] is the size in wheels on the scale model .
Step-by-step explanation:
Correct Question : Tom has a scale model of his car. The scale factor is 1 : 12. If the actual car has 16-inch wheels, what size are the wheels on the scale model?
We have , The scale factor is 1 : 12. We need to find If the actual car has 16-inch wheels, what size are the wheels on the scale model .Let's find out:
Ratio of size of wheels to actual size of wheels is 1:12 , but actual car has 16-inch wheels So ,
⇒ [tex]\frac{1}{12} = \frac{x}{16}[/tex] { x is size of wheel in scale model }
⇒ [tex]\frac{1(16)}{12} = \frac{x}{16}(16)[/tex]
⇒ [tex]x =\frac{16}{12}[/tex]
⇒ [tex]x =\frac{4}{3}inch[/tex]
Therefore , [tex]x =\frac{4}{3}inch[/tex] is the size in wheels on the scale model .
