The Correct Answer and Explanation is:
Based on the information provided in the image, here is the correct answer and a detailed explanation.
Correct Answer: The completed table is as follows:
| Time measured in hours, x | Time measured in minutes, y |
| 1 | 60 |
| 3 | 180 |
| 7 | 420 |
| 9 | 540 |
Explanation
The problem asks us to complete a table that shows the relationship between time measured in hours (represented by x) and time measured in minutes (represented by y). The core of the problem is the given equation: y = 60x. This equation makes logical sense because there are 60 minutes in every hour. Therefore, to find the total number of minutes (y), you multiply the number of hours (x) by 60.
To fill in the table, we must use this equation to find the missing values. We can analyze the table row by row.
In the first row, the value for minutes, y, is 60. We need to find the corresponding hours, x. We can plug the value of y into the equation: 60 = 60x. To solve for x, we divide both sides of the equation by 60, which gives us x = 1. So, 60 minutes is equal to 1 hour.
In the second row, the value for hours, x, is 3. We need to find the equivalent time in minutes, y. Using the formula y = 60x, we substitute 3 for x: y = 60 * 3. The result is y = 180. This means 3 hours is equal to 180 minutes.
In the third row, we are given that y = 420 minutes. To find the hours, x, we use the equation 420 = 60x. We can isolate x by dividing 420 by 60. The calculation 420 / 60 equals 7. Thus, x = 7 hours.
In the fourth and final row, the value for minutes, y, is 540. Following the same process, we set up the equation 540 = 60x. To find x, we divide 540 by 60, which gives us x = 9. So, 540 minutes is equivalent to 9 hours.
