The number of boxes on a truck varies directly with the time since the workday began. At 3 hours after the workday began, there are 207 boxes on the truck. How many boxes should we expect there to be on the truck hours after the workday began?
Show the math.
How many hours after the workday began?
Is the truck being loaded or unloaded?
for loading ... b = (207/3) h = 69 h
Sorry..
The number of boxes on a truck varies directly with the time since the workday began. At 3 hours after the workday began, there are 207 boxes on the truck. How many boxes should we expect there to be on the truck 7 1/3 hours after the workday began?
To solve the problem, we need to use the concept of direct variation. In direct variation, two variables are directly proportional to each other if they increase or decrease at the same rate. This can be represented by the equation: y = kx, where y and x are the two variables, and k is the constant of variation.
In this case, the number of boxes (y) is directly proportional to the time since the workday began (x). We are given that at 3 hours after the workday began, there are 207 boxes on the truck, so we can set up our equation as: 207 = k * 3.
To find the constant of variation (k), we can rearrange the equation: k = 207 / 3.
Now that we have the value of k, we can use it to find the number of boxes (y) for any given time (x). So, if we want to know the number of boxes hours after the workday began, we substitute the value of x in the equation y = kx.
Let's assume we want to find the number of boxes 5 hours after the workday began. Plugging in the values, we have: y = (207 / 3) * 5.
To calculate this, divide 207 by 3, then multiply the result by 5.