The student's question pertains to the mathematical function y = 3x + 2, which connects time in minutes (x) to the volume of water in a tank in gallons (y). This linear equation shows an increase of 3 gallons per minute with an initial value of 2 gallons. Converting 3 gallons to fluid ounces results in 384 fluid ounces, showing an application of unit conversion.
The student's question involves identifying a mathematical function that describes the relationship between two variables: time in minutes and the amount of water in gallons in a tank. The function is given by y = 3x + 2. According to this function, the amount of water in the tank increases by 3 gallons for each minute that passes, and there is an initial amount of 2 gallons in the tank at the start (when x = 0 minutes).
To understand this function in practical terms, let's consider an example. If we want to know how much water is there in the tank after 10 minutes, we simply substitute x with 10 and calculate y:
y = 3(10) + 2
y = 30 + 2
y = 32 gallons
Therefore, after 10 minutes, there would be 32 gallons of water in the tank.
If you need to convert gallons to fluid ounces, remember that 1 gallon is equivalent to 128 fluid ounces. Therefore, to convert 3 gallons to fluid ounces, you would do the following calculation:
3 gallons × 128 fluid ounces/gallon = 384 fluid ounces
Hence, the tank would contain 384 fluid ounces of water after 3 minutes.
The question probable may be:
In a tank, the amount of water increases by a constant amount each minute. There are initially 2 gallons of water in the tank, and after 10 minutes, there are 32 gallons of water. What is the mathematical function that describes the relationship between the time (in minutes) and the amount of water (in gallons) in the tank?