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.

1 answer

To find out how many steps Marjam needs to take each hour for the remainder of the day, we first need to determine how many steps she has left to reach her goal of 10,000 steps.

  1. Total steps needed: 10,000 steps

  2. Steps taken in the morning: 2,500 steps

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

  4. Hours remaining in the day: 10 hours

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

Now, regarding which graph most clearly communicates the solution, the best choice is the one showing a closed point at 750 on a number line labeled "Marjam’s Steps per Hour for the Remainder of the Day." This option indicates that she needs to walk exactly 750 steps per hour to meet her goal, making it clear that this is her required target.

Thus, the answer is:

  • She needs to take 750 steps per hour for the rest of the day.
  • The graph that most clearly communicates this solution is the one with a closed point at 750 on a labeled number line.