Gina uses a rain barrel to collect rainwater for her garden. Today during a major storm, Gina began to record the amount of water in the rain barrel. Her data for the first five hours of the storm is shown in the table below.
Hours Gallons
2. 5
3. 6.5
4. 8
5. 9.5
Suppose it continues to rain at the same rate. How many gallons of water will there be in Gina’s barrel after 13 hours?
Please help
That's 8 hours after 5:00. 1.5 * 8 = 12.
12 + 9.5 = 21.5 gallons.
To find out how many gallons of water will be in Gina's barrel after 13 hours, we can use the given data to determine the rate at which water is being added to the barrel.
First, let's calculate the rate of change in gallons per hour by finding the difference in gallons for consecutive hours:
- Between the 2nd and 3rd hour: 6.5 - 5 = 1.5 gallons/hour
- Between the 3rd and 4th hour: 8 - 6.5 = 1.5 gallons/hour
- Between the 4th and 5th hour: 9.5 - 8 = 1.5 gallons/hour
We notice that there is a constant increase of 1.5 gallons per hour.
To find the number of gallons after 13 hours, we can use the formula: Number of gallons = Initial amount + (Rate of change * Number of hours)
Using the given data, we know that after the 5th hour there are 9.5 gallons of water. So, the initial amount of water is 9.5 gallons and the rate of change is 1.5 gallons/hour.
Plugging these values into the formula:
Number of gallons after 13 hours = 9.5 + (1.5 * 13)
Number of gallons after 13 hours = 9.5 + 19.5
Number of gallons after 13 hours = 29
Therefore, after 13 hours of rain, there will be 29 gallons of water in Gina's barrel.