𝑦
=
120
−
4.5
𝑥
models the amount of fuel (in gallons) left in a truck's tank after driving for x hours.
Which of the following statements properly interprets a key feature of the model?
(1 point)
Responses
The truck started off holding 120 gallons of fuel in the tank.
The truck started off holding 120 gallons of fuel in the tank.
The amount of gas in the tank increases by 4.5 gallons each hour.
The amount of gas in the tank increases by 4.5 gallons each hour.
The tank is draining at a rate of 120 gallons per hour.
The tank is draining at a rate of 120 gallons per hour.
The truck uses 4.5 gallons of fuel and starts driving after 120 hours.
1 answer
The correct interpretation of the key feature of the model \( y = 120 - 4.5x \) is:
The truck started off holding 120 gallons of fuel in the tank.
This is because when \( x = 0 \) (which represents the starting point), \( y = 120 - 4.5(0) = 120 \). Thus, the initial amount of fuel in the tank is 120 gallons. The other statements do not accurately represent the function's behavior.
