Use the table to answer the question.

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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Answer 1

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.