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)

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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.

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.

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.

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.
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Answer 1

To determine how many steps Marjam needs to take each hour for the rest of the day, we can follow these steps:

1. Establish her step goal: Marjam's goal is to take at least 10,000 steps.

2. Calculate steps completed in the morning: She has already taken 2,500 steps.

3. Calculate remaining steps needed: \[ \text{Remaining steps} = 10,000 - 2,500 = 7,500 \text{ steps} \]

4. Determine the number of hours left: There are 10 hours left in the day.

5. Calculate steps needed per hour: \[ \text{Steps per hour} = \frac{\text{Remaining steps}}{\text{Hours left}} = \frac{7,500}{10} = 750 \text{ steps per hour} \]

Now we know that Marjam needs to walk 750 steps each hour for the next 10 hours to meet her goal of 10,000 steps.

Regarding the graphs listed, we need a graph that clearly shows the required steps per hour (750 steps):

• The description of the fourth option mentions it has a closed point plotted at 750, which indicates that this is the exact required number of steps per hour, and the line extends past 900. This gives a clear visual representation of Marjam's needs for the remainder of the day.

Thus, the fourth option is the most appropriate graph that communicates the solution: 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.