Question

Karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed 0.8 liters for each kilometer driven.
Graph the relationship between the amount of fuel remaining in the trucks tank (in liters) and distance driven (in kilometers).

please help asap

Answer 1

Answer:

The graph of the relationship given is a decreasing linear function that starts at the point (0,400) and passes through the points (100, 320) and (200, 240).

Step-by-step explanation:

The relationship described in this question can be represented by a linear function which shows a consistent rate of change over time.  They tell us that the amount of fuel consumed for each km is 0.8 liters.  Therefore, for 100km (100x0.8) we would consume 80 liters and for 200km (200x0.8) we would consume 160km.  Since the starting amount of fuel is 400 at 0km, our first point would start at (0,400) where 0 is the amount of km 'x' and 400 is the amount of fuel 'y'.  After 100km, we use 80 liters of fuel, so 400 minus 80 is 320.  And, given we use 160 liters of fuel after 200km, we would have 240 liters left.  This gives us the other points of (100,320) and (200,240).