Question

how is the number of minutes related to the number of words? minutes ? unit rate = words × ÷

Explanation:

Step1: Find the unit rate

The unit rate is the number of words per minute. For the first pair, when time \(t = 1\) min, words \(w=15\). For the second pair, when \(t = 2\) min, \(w = 30\). The unit rate \(r=\frac{w}{t}\). Using the first pair \(\frac{15}{1}=15\) words per minute, using the second pair \(\frac{30}{2}=15\) words per minute.

Step2: Establish the relationship

The formula for the number of words \(w\) in terms of time \(t\) (in minutes) is \(w = 15t\) (since the unit rate \(r = 15\)). To find the time \(t\) in terms of the number of words \(w\), we can rewrite the formula as \(t=\frac{w}{15}\)

Answer:

The number of words \(w\) is related to the number of minutes \(t\) by the equation \(w = 15t\) (or \(t=\frac{w}{15}\)), meaning the number of words is 15 times the number of minutes (or the number of minutes is the number of words divided by 15)