Use the table to answer the question.

Week in Training Longest Run
0 1
1 3
2 5
3 7
4 9
Mohammad is training for a marathon. He has started a training program to increase his mileage. When Mohammad started training, he could run 1 mile. His goal is to increase his mileage by 2 miles each week. The table shows his longest run in miles with respect to the training week. Which graph models the sequence accurately?

Option #1: Five points showing an increase of longest run over time are plotted on a coordinate plane. The y-axis is labeled longest run left parenthesis miles right parenthesis. The x-axis is labeled weeks.



Option #2: Five points showing an increase of the number of weeks over the longest run are plotted on a coordinate plane. The x-axis is labeled longest run left parenthesis miles right parenthesis. The y-axis is labeled weeks.



Option #3: Five points showing an increase of longest run over time are plotted on a coordinate plane. The y-axis is labeled longest run left parenthesis miles right parenthesis. The x-axis is labeled weeks.

(1 point)
The graph in Option #
models the sequence accurately.
Remaining Attempts : 3
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Answers

Answered by GPT-4o mini
To determine which option accurately models the sequence given in the table, we need to analyze the axes.

The table provides the following data:

- Week 0: Longest Run = 1 mile
- Week 1: Longest Run = 3 miles
- Week 2: Longest Run = 5 miles
- Week 3: Longest Run = 7 miles
- Week 4: Longest Run = 9 miles

From this, we can see that as the weeks increase, the longest run also increases, following the relationship that the longest run increases by 2 miles each week.

This means we want a graph where:
- The x-axis is labeled "Weeks"
- The y-axis is labeled "Longest Run (miles)"

Given these characteristics, we can conclude the following:

- **Option #1** correctly labels the axes as having weeks on the x-axis and longest run in miles on the y-axis.

- **Option #2** incorrectly labels the x-axis as the longest run and the y-axis as weeks.

- **Option #3** has the correct labels as well, with weeks on the x-axis and longest run in miles on the y-axis.

Since both Option #1 and Option #3 accurately model the sequence based on the labels, you could choose either. However, since the question asks for a single choice, "Option #1" is a valid response.

Thus, you can respond with:

**The graph in Option #1 models the sequence accurately.**
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