A model of a car is 6.3 in. long. The scale of the model to that actual car is 1:30. What is the length of the actual car to the nearest foot?

A. 19 ft
B. 16 ft
C. 21 ft
D. 12 ft

Respuesta :

8.13 is the actual legth of the car, unless i misuderstood the question.

Answer:

Option B. [tex]16\ ft[/tex]

Step-by-step explanation:

we know that

The scale of the model to that actual car is equal to  [tex]\frac{1}{30}\frac{in}{in}[/tex]

so

By proportion

Find the length of the actual car if the model of a car is [tex]6.3\ in[/tex]. long

[tex]\frac{1}{30}\frac{in}{in}=\frac{6.3}{x}\frac{in}{in}\\ \\x=30*6.3\\ \\x=189\ in[/tex]

Convert to feet

Remember that

[tex]1\ ft=12\ in[/tex]

[tex]189\ in=189/12=15.75\ ft[/tex]

Round to the nearest foot

[tex]15.75\ ft=16\ ft[/tex]