Question

Maria and Charlie can deliver 80 papers in 4 hours. How long would it take them to deliver 46 papers?

Answer 1

Since the number of hours increase as the number of papers increase, then we know this is a direct proportion so using the direct proportion formula we have:

Direct Proportion Formula
\[\frac{y}{x} = k\]

In the first case, we find the constant of proportionality

y = Number of papers = 80
x = Number of hours = 4
k = constant of proportionality

\[\frac{80}{4} = k\]\[20 = k\]

In the second case, we find the number of hours, x
y = 46
x = ?
k = 20

We use the same formula but plug in the values for the second case:

\[\frac{46}{x} = 20\]\[\frac{46}{20} = x\]\[2.3 = x\]

Thus, 46 papers can be delivered in 2.3 hours.