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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.

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.

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 for the remaining 10 hours in order to meet her goal of at least 10,000 steps, we can follow these steps:

  1. Calculate the total number of steps needed: Marjam's goal is 10,000 steps. She has already taken 2,500 steps in the morning.

    \[ \text{Steps needed} = \text{Goal} - \text{Steps taken} = 10,000 - 2,500 = 7,500 \text{ steps} \]

  2. Calculate the number of steps needed per hour: There are 10 hours left in the day.

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

Therefore, Marjam needs to take 750 steps each hour for the remaining 10 hours to reach her goal of 10,000 steps.

Which graph best communicates the solution?

The graph that most clearly communicates the solution would be the one that shows a point at 750 on a number line representing Marjam’s Steps per Hour for the Remainder of the Day since we calculated that she needs to walk 750 steps each of the remaining hours.

Answer:

The second option, "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." is the most suitable graph.