Final answer:
To find the actual length of the car, we set up a proportion using the scale 1:24 and the replica's length of 5.6 inches. After cross-multiplication, we find the length of the actual car to be 134.4 inches, which corresponds to option (c).
Step-by-step explanation:
In order to find the actual length of the car using the given scale of 1 inch to 24 inches, we set up a proportion. Since the length of the replica car is 5.6 inches, we can express it as:
Scale length / Actual length = 1 inch / 24 inches
Then, replacing the scale length with 5.6 inches, our proportion becomes:
5.6 inches / x inches = 1 inch / 24 inches
To solve for x (the actual length), we cross-multiply and divide:
x inches = 5.6 inches * 24 inches
Doing the multiplication gives us:
x inches = 134.4 inches
Therefore, the actual length of the car in inches is option (c) 134.4 inches.