Final answer:
Using a scale where 1 cm represents 3.5 km, a distance of 2.4 cm on the scale equates to 8.4 kilometers in reality.
Step-by-step explanation:
To solve the question 2.4 cm represents how many kilometers, we will use the given scale where 1 cm represents 3.5 km. To set up a proportion, we compare the two scales:
1 cm / 3.5 km = 2.4 cm / x km,
where x represents the unknown distance in kilometers.
Now, cross-multiply to solve for x:
1 cm × x km = 2.4 cm × 3.5 km,
x = (2.4 cm × 3.5 km) / 1 cm = 8.4 km.
Thus, 2.4 cm on the scale represents 8.4 kilometers in reality.