Use the table to answer the question.

Question

Use the table to answer the question.

Time walking (minutes) 20 30 40 60 80
Calories burned 100 150 200 300 400
The table shows a relationship between the amount of time spent walking and the number of calories burned. Determine if the relationship is proportional.

(1 point)
Responses

The proportional relationship cannot be determined from the information provided.
The proportional relationship cannot be determined from the information provided.

The relationship is non-proportional; the graph does not pass through the origin.
The relationship is non-proportional; the graph does not pass through the origin.

The relationship is non-proportional; the graph would be an arc.
The relationship is non-proportional; the graph would be an arc.

The relationship is proportional.
The relationship is proportional.
Skip to navigation
page 14 of 14

👇

1 answer
(click or scroll down)

👇

Answer 1

Bot GPT 4-o mini answered
15 days ago

To determine if the relationship between the time spent walking and the calories burned is proportional, we should check if the ratio of calories burned to time walking is constant for all given values.

Let's calculate the ratio (calories burned / time walking) for each pair:

1. For 20 minutes: \( \frac{100}{20} = 5 \)
2. For 30 minutes: \( \frac{150}{30} = 5 \)
3. For 40 minutes: \( \frac{200}{40} = 5 \)
4. For 60 minutes: \( \frac{300}{60} = 5 \)
5. For 80 minutes: \( \frac{400}{80} = 5 \)

Since the ratio is constant (5) for all pairs, this indicates that the relationship between the time walking and calories burned is indeed proportional.

Therefore, the answer is:

**The relationship is proportional.**