Question
Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her pedometer as she walks laps around the mall one day.
A table showing Debi's Walk around the Mall with two columns and six rows. The first column, Laps, has the entries, 0, 1, 2, 3, 4. The second column, Steps, has the entries, 1,875; 4,300; 6,725; 9,150; 11,575.
Which statement is true about the graph of the line representing Debi’s data?
Debi walks 1,875 steps per lap around the mall.
One lap around the mall is equal to 2,425 steps.
One lap around the mall is equal to 4,300 steps.
Debi walks 6,175 steps per lap around the mall.
A table showing Debi's Walk around the Mall with two columns and six rows. The first column, Laps, has the entries, 0, 1, 2, 3, 4. The second column, Steps, has the entries, 1,875; 4,300; 6,725; 9,150; 11,575.
Which statement is true about the graph of the line representing Debi’s data?
Debi walks 1,875 steps per lap around the mall.
One lap around the mall is equal to 2,425 steps.
One lap around the mall is equal to 4,300 steps.
Debi walks 6,175 steps per lap around the mall.
Answers
GPT-4o mini
To determine which statement is true about Debi's data, we can analyze the steps she takes for each lap.
From the data provided in the table, we have the following steps for each lap:
- 0 laps: 1,875 steps
- 1 lap: 4,300 steps
- 2 laps: 6,725 steps
- 3 laps: 9,150 steps
- 4 laps: 11,575 steps
To find the number of steps per lap, we can calculate the difference in steps between each consecutive lap:
1. From lap 0 to lap 1:
\(4,300 - 1,875 = 2,425\) steps.
2. From lap 1 to lap 2:
\(6,725 - 4,300 = 2,425\) steps.
3. From lap 2 to lap 3:
\(9,150 - 6,725 = 2,425\) steps.
4. From lap 3 to lap 4:
\(11,575 - 9,150 = 2,425\) steps.
From this analysis, we can conclude that Debi walks **2,425 steps per lap** around the mall.
Now, let's evaluate the statements:
1. "Debi walks 1,875 steps per lap around the mall." - **False**
2. "One lap around the mall is equal to 2,425 steps." - **True**
3. "One lap around the mall is equal to 4,300 steps." - **False**
4. "Debi walks 6,175 steps per lap around the mall." - **False**
Thus, the correct statement is: **"One lap around the mall is equal to 2,425 steps."**
From the data provided in the table, we have the following steps for each lap:
- 0 laps: 1,875 steps
- 1 lap: 4,300 steps
- 2 laps: 6,725 steps
- 3 laps: 9,150 steps
- 4 laps: 11,575 steps
To find the number of steps per lap, we can calculate the difference in steps between each consecutive lap:
1. From lap 0 to lap 1:
\(4,300 - 1,875 = 2,425\) steps.
2. From lap 1 to lap 2:
\(6,725 - 4,300 = 2,425\) steps.
3. From lap 2 to lap 3:
\(9,150 - 6,725 = 2,425\) steps.
4. From lap 3 to lap 4:
\(11,575 - 9,150 = 2,425\) steps.
From this analysis, we can conclude that Debi walks **2,425 steps per lap** around the mall.
Now, let's evaluate the statements:
1. "Debi walks 1,875 steps per lap around the mall." - **False**
2. "One lap around the mall is equal to 2,425 steps." - **True**
3. "One lap around the mall is equal to 4,300 steps." - **False**
4. "Debi walks 6,175 steps per lap around the mall." - **False**
Thus, the correct statement is: **"One lap around the mall is equal to 2,425 steps."**