Final answer:
To determine the time it would take Carla to read 20 pages at a rate of 4 pages every 10 minutes, a proportion can be used resulting in a total reading time of 50 minutes.
Step-by-step explanation:
If Carla reads four pages every 10 minutes, then to calculate how long it would take her to read 20 pages, we can set up a proportion based on the rate given. The ratio of pages to minutes is 4 pages per 10 minutes. So, for 20 pages, we can use the following steps:
- First, set up the proportion: 4 pages/10 minutes = 20 pages/x minutes.
- To find x, cross-multiply and divide: (4 pages) × x minutes = (10 minutes) × (20 pages).
- This simplifies to: 4x = 200.
- Now, divide both sides by 4: x = 200 / 4.
- Solve for x: x = 50 minutes.
Therefore, it would take Carla 50 minutes to read 20 pages.