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?
My work explanation: y=13(1.5), y=19.5
Could someone check my answer please.
does your formula work for y(2) ?
To find out how many gallons of water there will be in Gina's barrel after 13 hours, we can use a proportion based on the data provided.
First, we need to find the rate at which the water level in the barrel is increasing per hour. We can do this by calculating the difference in gallons for each consecutive hour:
Hour 2 to Hour 3: 6.5 - 5 = 1.5 gallons
Hour 3 to Hour 4: 8 - 6.5 = 1.5 gallons
Hour 4 to Hour 5: 9.5 - 8 = 1.5 gallons
We can observe that the water level in the barrel is increasing by 1.5 gallons per hour throughout this period of time.
Now, to find the number of gallons in the barrel after 13 hours, we can set up a proportion:
(13 hours) / (1 hour) = (y gallons) / (1.5 gallons)
Using cross-multiplication, we can solve for y:
13 (1.5 gallons) = y (1 hour)
y = 19.5 gallons
Therefore, according to the given data, there will be approximately 19.5 gallons of water in Gina's barrel after 13 hours.
Your answer of y = 19.5 gallons is correct!