To determine how many steps Marjam needs to take each hour for the rest of the day, we can follow these steps:
-
Determine Remaining Steps Needed:
Marjam's goal is 10,000 steps. She has already taken 2,500 steps.
\[ \text{Remaining Steps} = 10,000 - 2,500 = 7,500 \text{ steps} \] -
Determine Hours Left:
There are 10 hours left in the day. -
Calculate Steps Per Hour:
To find out how many steps she needs to take each hour, divide the remaining steps by the number of hours left.
\[ \text{Steps Per Hour} = \frac{7,500 \text{ steps}}{10 \text{ hours}} = 750 \text{ steps/hour} \]
Thus, Marjam needs to walk 750 steps each hour for the remaining 10 hours to meet her goal of 10,000 steps.
Number Line Representation
To represent this graphically, we can use a number line that indicates her progress toward her goal:
|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
0 2500 5000 7500 10000
Closed dot at 2500: • (Already reached this point)
Open dot at 10000: â—¯ (Goal to be reached at this point)
Remaining steps to reach goal:
- Current position at 2500
- Need to cover 7500 steps to reach 10000
- Each hour, she should aim to move 750 steps on this scale.
- Closed dot at 2,500 indicates that Marjam has already completed this number of steps.
- Open dot at 10,000 indicates her target and that it is not yet reached.
Conclusion
By calculating and graphing, we find that Marjam needs to complete 750 steps each hour for the remaining 10 hours to reach her goal of 10,000 steps by the end of the day.
1 answer