Question

As a large truck fills its gas tank, the volume of gas, in gallons, can be modeled with the linear function v = 4.8m + 8.2, where v is the volume of gas and m is the number of minutes it has been filling. Give an interpretation for both the 4.8 and 8.2 parameters in the linear model. Use appropriate units in your explanation.

Answer 1

Explanation:

Step one:

given data

we are told that the expression is

v = 4.8m + 8.2

where v is the volume of gas and

m is the number of minutes it has been filling.

Step two:

Required

Asumming the volume is in Liters

the interpretation of the terms in the expression for the volume

4.8 means that for every minute 4.8L of gas enters the gas tank

hence the rate of filling is 4.8L/min

8.2 means that there is 8.2L of gas already in the tank before the filling started.