Suppose that the water level of a river is 34 feet after 3 days of rain and 62 feet after 10 days of rain. The river was 22 feet before the rain began.(4 points)
so what is the rate of change (slope) for this scenario
To find the rate of change (slope) for this scenario, we can use the formula for the slope of a line:
slope = (change in y) / (change in x)
In this case, the change in y is the difference in the water level, which is 62 feet - 22 feet = 40 feet.
The change in x is the difference in the number of days of rain, which is 10 days - 3 days = 7 days.
Therefore, the slope is 40 feet / 7 days = 5.714 feet/day.
To find the rate of change (slope) in this scenario, we need to calculate the change in water level divided by the change in time.
First, let's calculate the change in water level:
Change in water level = Final water level - Initial water level
Change in water level = 62 ft - 22 ft = 40 ft
Next, let's calculate the change in time:
Change in time = Final time - Initial time
Change in time = 10 days - 3 days = 7 days
Now, we can calculate the rate of change (slope):
Rate of change (slope) = Change in water level / Change in time
Rate of change (slope) = 40 ft / 7 days = 5.7 feet per day
To find the rate of change (slope) in this scenario, we can use the formula:
slope = (change in y) / (change in x)
In this case, the change in y refers to the change in the water level of the river, and the change in x refers to the number of days of rain.
Given the following information:
- Water level after 3 days of rain: 34 feet
- Water level after 10 days of rain: 62 feet
- Initial water level before the rain: 22 feet
To calculate the change in y, we subtract the initial water level from the final water level:
(change in y) = (final water level) - (initial water level)
(change in y) = 62 feet - 22 feet
(change in y) = 40 feet
To calculate the change in x, we subtract the initial number of days from the final number of days:
(change in x) = (final number of days) - (initial number of days)
(change in x) = 10 days - 3 days
(change in x) = 7 days
Now, we can plug the values into the slope formula:
slope = (change in y) / (change in x)
slope = 40 feet / 7 days
So, the rate of change (slope) for this scenario is approximately 5.714 feet per day.