Marjam has a goal of taking at least 10,000 steps today. According to her pedometer, she got 2,500 steps in the morning. There are 10 hours left in the day. How many steps will she need to get each hour (assume she walks the same number of steps each hour) for the rest of the day to meet her goal? Solve this problem. Which graph most clearly communicates the solution?(1 point)
Have you finished this test? If so have your got the answers?
Marjam's goal is to take 10,000 steps for the day. She has already taken 2,500 steps in the morning. In order to determine how many steps she needs to take in the remaining 10 hours to meet her goal, we need to count the remaining number of steps she needs to take:
10,000 steps (goal) - 2,500 steps (morning) = 7,500 steps
Now that we know Marjam needs to take 7,500 more steps in the remaining 10 hours, we can calculate how many steps she will need to take each hour:
7,500 steps / 10 hours = 750 steps per hour
To communicate the solution graphically, you could use:
1. A **line graph**: plotting hours on the x-axis against cumulative steps on the y-axis and showing how the steps increase over time, where each hour she adds 750 steps.
2. A **bar graph**: showing the number of steps she takes in each hour of the day, with the first bar representing the first part of the day (2,500 steps) and the subsequent bars each showing 750 steps.
3. A **pie chart**: might not be the best option here since we’re tracking progress over time, and pie charts are better suited for showing proportions of a whole at a single point in time.
4. A **table**: could clearly show the number of steps she should take each hour, but this is not a graphical representation.
Of these options, the line graph is likely the most effective as it can clearly illustrate the progression of steps over time, with a steady increase consistent with her taking 750 steps per hour. The bar graph would be the next best alternative because it also communicates the steady increase of steps per hour.
Please note that the graph's clarity will also depend on its execution – it has to be labeled correctly and accurately represent the data to be considered clear communication of the solution.
can you write it in a line graph, 100 through 900
As an AI, I'm unable to create visual content directly, but I can guide you through the description of what a line graph representing Marjam's step count would look like.
To create a line graph to depict Marjam's step count over the 10-hour period and aiming for 100 through 900 step increments, follow these steps:
**1. Set up your graph:**
- Draw a horizontal axis (x-axis) and label it as "Hours".
- Draw a vertical axis (y-axis) and label it as "Cumulative Steps".
**2. Scale the axes:**
- Along the x-axis, mark each hour increment from 0 to 10 (assuming the morning as hour 0).
- Along the y-axis, start with 0 and scale up to 10,000 in increments that make sense for your graph size. For instance, if the graph is large enough, you might use increments of 1000, but you mentioned increments of 100 through 900, which are smaller units. You might mean increments of 100 for every 100 steps, which would require a very tall graph or you may choose to represent larger increments (like 500 or 1000) for visibility while still marking the exact points for steps like 100, 200...900 at each hour.
**3. Plot Marjam's steps:**
- Mark the first data point at hour 0 with 2,500 steps on the y-axis.
- Then add 750 steps for each subsequent hour to show her progress. These would be the data points to plot:
- Hour 1: 2,500 + 750 = 3,250 steps
- Hour 2: 3,250 + 750 = 4,000 steps
- Hour 3: 4,000 + 750 = 4,750 steps
- Hour 4: 4,750 + 750 = 5,500 steps
- Hour 5: 5,500 + 750 = 6,250 steps
- Hour 6: 6,250 + 750 = 7,000 steps
- Hour 7: 7,000 + 750 = 7,750 steps
- Hour 8: 7,750 + 750 = 8,500 steps
- Hour 9: 8,500 + 750 = 9,250 steps
- Hour 10: 9,250 + 750 = 10,000 steps
**4. Connect the dots:**
- Connect the plotted points with a continuous line to show the progression of steps over time.
Remember to create the graph with correct scaling and proportion to make the data easily interpretable. The line should start at 2,500 and have a consistent rise, indicating the uniform addition of steps each hour, and ending at 10,000 steps by the 10th hour.
I SAID TYPE A LINE GRAPH 100 TO 900
Apologies for any confusion. To clarify, a text-based version of a line graph incrementing by 100 through to 900 for each hour would require me to use a combination of characters and layout within the text here to represent the graph. Given the constraints of plain text, it’s indeed quite limited, but I can illustrate a simple text version:
```
Steps
^
| / 900
| /
| / 800
| /
| / 700
| /
| / 600
| /
|/ 500
|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|> Hours
0 1 2 3 4 5 6 7 8 9 10
```
In this text representation:
- Each upward slash '/' would indicate an hour passing.
- Next to each slash is supposed to be a cumulative step count at the end of that hour.
- Since we can't place text exactly where it would be on an actual graph, the numbers (900, 800, ..., 100) are placeholders to denote the approximate step count level per hour, assuming Marjam consistently walks enough to add those steps.
However, this very rudimentary depiction doesn't follow a numeric scale (because it can't with plain text) and won't visually communicate the data clearly. For an accurate line graph, you would really need a graphical tool or software that can plot points accurately along both x (hours) and y (steps) axes and draw the line connecting those points.
To solve this problem, we need to find out how many steps Marjam will need to take each hour for the rest of the day in order to meet her goal of 10,000 steps.
First, let's subtract the number of steps Marjam has already taken (2,500) from her goal (10,000) to figure out how many more steps she needs to take. 10,000 - 2,500 = 7,500.
Next, we need to divide the number of remaining steps (7,500) by the number of hours left in the day (10) to find out how many steps she needs to take each hour. 7,500 / 10 = 750.
So, Marjam will need to take 750 steps each hour for the rest of the day to meet her goal of 10,000 steps.
To communicate this solution visually, a bar graph or a line graph would be most suitable. The x-axis can represent the hours left in the day, and the y-axis can represent the number of steps taken. The graph would show a horizontal line at the height of 750 steps, indicating that Marjam needs to take 750 steps each hour for the remaining hours.