Question

The distance between Plano, TX, and Granbury, TX is about 120 kilometers. There are approximately 8 kilometers in 5 miles. What is the distance in miles between these two cities? (Hint: set the equation up as a proportion miles/km = miles/km)

a) 75 miles
b) 187.5 miles
c) 60 miles
d) 150 miles

Answer 1

By setting up a proportion using the given ratio of miles to kilometers, we find that the distance between Plano, TX and Granbury, TX is 75 miles.

Step-by-step explanation:

The question is about converting the distance from kilometers to miles using the given proportion. We know that the distance between Plano, TX and Granbury, TX is approximately 120 kilometers and that 5 miles is the same as 8 kilometers. To find the distance in miles, we set up a proportion as follows:

• 5 miles/8 km = x miles/120 km

To solve for x, which represents the distance in miles, we cross-multiply and divide:

• (5 miles × 120 km) / (8 km) = x miles
• 600 / 8 = x miles
• x = 75 miles

Therefore, the distance in miles between these two cities is 75 miles, which corresponds to option a) 75 miles.