Question

based on the information in the table, is the relationship between time and the number of words typed a proportional relationship?
time (min) | 1 | 2 | 3 | 4
number of words | 45 | 90 | 135 | 180
the relationship (select) proportional.
the number of words divided by the number of minutes is always equal to \boxed{} words per 1 minute.

Explanation:

Step1: Check proportionality

To determine if the relationship is proportional, we check if the ratio of words to time is constant. For time = 1 min, words = 45, so \( \frac{45}{1} = 45 \). For time = 2 min, words = 90, so \( \frac{90}{2} = 45 \). For time = 3 min, words = 135, so \( \frac{135}{3} = 45 \). For time = 4 min, words = 180, so \( \frac{180}{4} = 45 \). Since the ratio is constant, the relationship is proportional.

Step2: Find the constant ratio

As calculated above, the number of words divided by the number of minutes is always 45.

Answer:

The relationship is proportional. The number of words divided by the number of minutes is always equal to \(\boldsymbol{45}\) words per 1 minute.