Final answer:
Anna would walk for 16 minutes to cover 24 blocks, as we use proportional relationships to scale her known rate of walking 12 blocks in 8 minutes.
Step-by-step explanation:
The student is asking about the relationship between distance traveled, the time it takes to travel that distance, and the rate of movement, which is a basic concept in mathematics, specifically in the topic of ratios and proportional relationships. We will apply the principle that if Anna walks 12 blocks in 8 minutes, then she walks at a constant rate. Therefore, to find out how long it takes to walk 24 blocks, we set up a proportional relationship.
First, express the known rate:
12 blocks / 8 minutes = 24 blocks / x minutes.
Next, solve for x, which represents the time taken to walk the 24 blocks. By cross-multiplication, we obtain:
8 minutes * 24 blocks = 12 blocks * x minutes.
This simplifies to:
192 block-minutes = 12 blocks * x minutes,
Divide both sides of the equation by 12 blocks to find x:
192 block-minutes / 12 blocks = x minutes.
So, x = 16 minutes.
Therefore, Anna walks for 16 minutes to cover a distance of 24 blocks.