Answer:
D) y = 10 - 0.05x
Step-by-step explanation:
The number of gallons of gas left in the tank of Anna's car can be represented using a linear function in the form
[tex]y=q+mx[/tex]
where
x is the number of miles driven
q is the amount of gallons initially in the tank, when x = 0
m is the number of gallons consumed per mile driven
First of all, we observe that:
- The sign of m must be negative, because as the car drives, the number of gallons left in the tank (y) must decrease. Therefore, we can immediately exclude option C)
- The problem says that the car has a small tank. Therefore, the number of gallons in the tank at the beginning must be the minimum possible, so in this case, q = 10
Therefore, the correct function is:
y = 10 - 0.05x
which means that: at the beginning, the tank contains 10 gallons, and 0.05 gallons per mile are consumed as the car moves.
