The expression g=3.5m represents the number of gallons of water in a pool that is being filled at a rate of 3.5 gallons per minute.
Here is an explanation of the parts of the rational expression g=3.5m in the context of the situation:
g represents the number of gallons of water in the pool. This is the dependent variable, meaning that its value depends on the value of the independent variable, m.
3.5 is the coefficient of the independent variable m. This number represents the rate at which the pool is being filled. In this case, the pool is being filled at a rate of 3.5 gallons per minute.
m represents the number of minutes that Miriam has been filling the pool. This is the independent variable, meaning that its value is determined independently of the value of the dependent variable.
Putting all of this together, the equation g=3.5m can be interpreted as follows:
The number of gallons of water in the pool is equal to the product of the rate at which the pool is being filled (3.5 gallons per minute) and the number of minutes that Miriam has been filling the pool (m).
For example, if Miriam has been filling the pool for 10 minutes, then the number of gallons of water in the pool can be calculated as follows:
g = 3.5m = 3.5(10) = 35 gallons
Therefore, the equation g=3.5m models the relationship between the number of gallons of water in the pool and the number of minutes that Miriam has been filling the pool.