A Formula 1 race car is re-created as a toy car, reduced by a scale of. If the model 18 version is 7.8 cm tall, how tall is the race car?
1.4 m
1.12 m
1.68 m
0.84 m
If the toy car is a scaled-down version of the actual race car, we can use the scale factor to find the height of the race car.
Let's assume the scale factor is "x" (as it is not specified in the question).
We have the equation:
7.8 cm = x * height of the race car
To find x, we can rearrange the equation as:
x = (7.8 cm) / (height of the race car)
Using the options given in the question, we can check for the value of x:
For 1.4 m:
x = (7.8 cm) / (1.4 m * 100 cm/m) = 0.0557
This does not match the scale factor since it is not close to 1/18.
For 1.12 m:
x = (7.8 cm) / (1.12 m * 100 cm/m) = 0.0696
This does not match the scale factor since it is not close to 1/18.
For 1.68 m:
x = (7.8 cm) / (1.68 m * 100 cm/m) = 0.0464
This does not match the scale factor since it is not close to 1/18.
For 0.84 m:
x = (7.8 cm) / (0.84 m * 100 cm/m) = 0.1167
This is close to 1/18.
Therefore, the correct option is 0.84 m. The race car is 0.84 meters tall.