Question

this is kinda confusing but it says “if 1 cm represents 2 meters, how long would each measurement be on an actual basketball court?”

Answer 1

Answer:

• 28 m
• 15 m
• 24.8 m
• 1.0 m

Step-by-step explanation:

The given statement is the scale factor:

  $\dfrac{\text{scale distance}}{\text{actual distance}}=\dfrac{1\text{ cm}}{2\text{ m}}$

This can be rearranged to the formula ...

  $\text{actual distance}=\text{(scale distance)}\dfrac{2\text{ m}}{1\text{ cm}}$

Filling in the given scale distances, you find the actual distances to be ...

  $\textbf{(a) }(14\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=14\cdot2\text{ m}=28\text{ m}\\\\\textbf{(b) }(7.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=7.5\cdot2\text{ m}=15\text{ m}\\\\\textbf{(c) }(12.4\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=12.4\cdot2\text{ m}=24.8\text{ m}\\\\\textbf{(d) }(0.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=0.5\cdot2\text{ m}=1.0\text{ m}$