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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)

Responses

1.An illustration shows a number line labeled Marjam’s Steps per Hour for the Remainder of the Day. The number line ranges from 0 to 900 in 100 unit increments. A closed point is plotted at 750. A line extends from that point to the right and goes past 900.
Image with alt text: An illustration shows a number line labeled Marjam’s Steps per Hour for the Remainder of the Day. The number line ranges from 0 to 900 in 100 unit increments. A closed point is plotted at 750. A line extends from that point to the right and goes past 900.

2.A number line ranges from 0 to 900 in 100 unit increments. An open point is labeled and plotted at 750. A line extends from that point to the right and goes past 900.
Image with alt text: A number line ranges from 0 to 900 in 100 unit increments. An open point is labeled and plotted at 750. A line extends from that point to the right and goes past 900.

3.A number line ranges from 0 to 900 in 100 unit increments. An open point is labeled and plotted at 750. A line extends from that point to the right and goes past 900.
Image with alt text: A number line ranges from 0 to 900 in 100 unit increments. An open point is labeled and plotted at 750. A line extends from that point to the right and goes past 900.

4.A number line is marked with 10 equidistant tick marks. An open point is plotted halfway between the eighth and ninth tick marks from the left. A line extends from that point to the right and goes past the last tick mark.

1 answer

To determine how many steps Marjam needs to take per hour for the rest of the day, we first need to calculate how many steps she has left to reach her goal of 10,000 steps.

  1. Calculate steps remaining to reach 10,000: \[ \text{Steps remaining} = 10,000 - 2,500 = 7,500 \text{ steps} \]

  2. Calculate steps per hour: Since there are 10 hours left in the day, we divide the remaining steps by the number of hours: \[ \text{Steps per hour} = \frac{7,500 \text{ steps}}{10 \text{ hours}} = 750 \text{ steps per hour} \]

Marjam needs to take 750 steps each hour for the rest of the day to meet her goal.

Now, regarding the graph that most clearly communicates the solution:

  • The correct choice would be Option 1. This is because it includes a closed point at 750, indicating that Marjam needs to reach this exact number of steps per hour to meet her goal. The line extending from that point demonstrates that any number greater than or equal to 750 steps per hour will still allow her to meet or exceed her goal, giving a clear visual representation of her target.

Therefore, the answer is:

Choose Option 1.