Question

ahmad 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 ahmad can drive his car when there are ( x ) liters of gas in the tank. find ( d(5) ) and interpret this value. (a) ( d(5)=square ) (b) the answer to part (a) means that ahmad can drive ( square ) kilometers when he has ( square ) liters of gas in the tank.

Explanation:

Step1: Locate \(x = 5\) on the graph

On the \(x\)-axis (amount of gas in liters), find \(x = 5\). Then, move vertically until you reach the line of the function \(D(x)\). Then move horizontally to the \(y\)-axis (distance in kilometers).

Step2: Read the \(y\)-value

From the graph, when \(x = 5\), the corresponding \(y\)-value (distance) is \(40\).

Answer:

(a) \(D(5)=40\)
(b) The answer to part (a) means that Ahmad can drive \(40\) kilometers when he has \(5\) liters of gas in the tank.