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

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.
Image with alt text: 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.

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.

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.

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.
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1 answer

To determine how many steps Marjam needs to take each hour to meet her goal of 10,000 steps, we can follow these steps:

  1. Calculate the number of steps remaining:
    Marjam's goal is 10,000 steps, and she has already taken 2,500 steps in the morning. \[ \text{Remaining Steps} = 10,000 - 2,500 = 7,500 \]

  2. Determine how many hours are left in the day:
    Marjam has 10 hours left to walk.

  3. Calculate steps needed per hour:
    To find out how many steps she needs to take each hour, divide the remaining steps by the number of hours left. \[ \text{Steps per hour} = \frac{7,500 \text{ steps}}{10 \text{ hours}} = 750 \text{ steps/hour} \]

Now, we know that Marjam needs to walk 750 steps each hour for the remaining 10 hours.

In terms of the graphs provided, the one that clearly communicates the solution would be the illustration showing a closed point plotted at 750. This indicates that 750 is the actual number of steps she needs to achieve per hour, effectively conveying the solution without ambiguity.

Thus, the answer is that Marjam needs to take 750 steps each hour, and the corresponding graph is the one that shows a closed point at 750 on the number line.