Question

ryan wants to know how far he can drive his car without adding additional gas. the function graphed below shows the distance, d(x) (in kilometers), that ryan can drive his car when there are x liters of gas in the tank.
find d(15) and interpret this value.
(a) d(15) =
(b) the answer to part (a) means that ryan can drive kilometers when he has liters of gas in the tank.

Explanation:

Step1: Locate the value on the graph

Find the point where \(x = 15\) (liters of gas) on the \(y\) - axis (amount of gas) and then check the corresponding value on the \(x\) - axis (distance).

Step2: Interpret the value

When \(x = 15\) liters of gas, the value of \(D(15)\) represents the distance Ryan can drive with 15 liters of gas in his car.

Answer:

a) \(D(15)\) is the value on the distance axis corresponding to 15 liters on the gas - amount axis.
b) The answer to part (a) means that Ryan can drive \(D(15)\) kilometers when he has 15 liters of gas in the tank.