Marjam needs to take 7,500 steps in the remaining 10 hours to meet her goal of 10,000 steps. To calculate the number of steps she needs to take each hour, we divide the total number of steps needed by the number of hours remaining: 7,500 steps / 10 hours = <<7500/10=750>>750 steps per hour.
The graph that clearly communicates this solution is a bar graph with the x-axis representing the hours remaining (0 to 10) and the y-axis representing the number of steps taken. Each bar on the graph would be of equal height, representing 750 steps per hour, and the total area under the bars (combined) would be equal to 7,500 steps.
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?
5 answers
Bot, how would you graph that on a number line
To graph the number of steps that Marjam needs to take each hour on a number line, you can assign the hours remaining as the x-axis and the number of steps per hour as the y-axis.
For this specific problem, you can start with the initial 2,500 steps that Marjam took in the morning at hour 0 on the number line. From there, you can plot points at each hour until hour 10.
Hour 0: 2,500 steps
Hour 1: 2,500 + 750 = 3,250 steps
Hour 2: 2,500 + 2(750) = 4,000 steps
Hour 3: 2,500 + 3(750) = 4,750 steps
...
Hour 10: 2,500 + 10(750) = 10,000 steps (goal reached)
You can mark each hour on the x-axis and plot the corresponding number of steps on the y-axis. Finally, you would draw a line connecting the points to represent the gradual increase in the number of steps taken each hour.
The resulting graph on the number line would show a straight line starting at 2,500 steps and gradually increasing by 750 steps each hour, until it reaches the goal of 10,000 steps at hour 10.
For this specific problem, you can start with the initial 2,500 steps that Marjam took in the morning at hour 0 on the number line. From there, you can plot points at each hour until hour 10.
Hour 0: 2,500 steps
Hour 1: 2,500 + 750 = 3,250 steps
Hour 2: 2,500 + 2(750) = 4,000 steps
Hour 3: 2,500 + 3(750) = 4,750 steps
...
Hour 10: 2,500 + 10(750) = 10,000 steps (goal reached)
You can mark each hour on the x-axis and plot the corresponding number of steps on the y-axis. Finally, you would draw a line connecting the points to represent the gradual increase in the number of steps taken each hour.
The resulting graph on the number line would show a straight line starting at 2,500 steps and gradually increasing by 750 steps each hour, until it reaches the goal of 10,000 steps at hour 10.
So, would 750 be open or closed on the number line?
In this context, where we are considering the number of steps Marjam needs to take each hour, the value 750 would be represented as a closed circle on the number line. This is because Marjam is aiming to take "at least" 750 steps per hour, and a closed circle indicates that 750 steps is included in the range of possible values.
1 answer