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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

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.

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.
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1 answer

To determine how many steps Marjam needs to take each hour for the rest of the day, we start with the following information:

  1. Marjam's goal is to take at least 10,000 steps in total.
  2. She has already taken 2,500 steps in the morning.
  3. There are 10 hours left in the day.

First, we calculate how many more steps she needs to take to reach her goal:

\[ 10,000 \text{ steps (goal)} - 2,500 \text{ steps (already taken)} = 7,500 \text{ steps needed} \]

Next, we divide the total number of steps she needs to take by the number of hours left in the day:

\[ \frac{7,500 \text{ steps}}{10 \text{ hours}} = 750 \text{ steps per hour} \]

So, Marjam needs to walk 750 steps each hour for the rest of the day to meet her goal of 10,000 steps.

Regarding the graph that most clearly communicates this solution, the suitable option is:

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.

This graph effectively shows the required steps per hour and communicates the solution clearly.