Question

2. MANUFACTURING The number of cars built varies directly as the number of hours the production line operates. What is the ratio of cars built to hours of production? 140 120 100 80 Number of Cars Built 60 40 20 0 1 2 3 4 5 6 7 Production Hours

Answer 1

60 cars per hour

1) Since we've been told there is a direct variation between the number of cars and the number of hours, the more worked hours the more cars are produced.

2) So let's check the graph to find the ratio. We can do that by locating the two points (1, 60) and ( 2,120).

Now let's write a ratio, between them the final number of cars built and the number of hours:

$\frac{120-60}{2-1}=\frac{60}{1}=60\text{ cars/hour}$

3) So the ratio is 60 cars per hour