Roger built a model car of a station wagon he actually owns. Based on the ratio on the box, he knows that every inch in the length of his model car represents 25 inches of length in his actual station wagon. The station wagon's car manual shows that the length of the actual car is 193.75 inches.
Complete the following equation so that it can be used to find the length, m, of the model car, then find the length of the model car.
The length of the model car is
inches.
The equation can be written as:
length of model car (m) = length of actual car (a) / ratio
Given that the ratio is 1 inch on the model car represents 25 inches on the actual car, the equation becomes:
m = a / 25
Substituting the given length of the actual car (a = 193.75 inches) into the equation:
m = 193.75 / 25
m = 7.75 inches
Therefore, the length of the model car is 7.75 inches.