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)

Question

Responses

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.

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.

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.

Answer 1

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

1. Calculate Remaining Steps Required:

   • Marjam's goal is 10,000 steps.
   • She has already taken 2,500 steps.
   • Remaining steps needed = 10,000 steps - 2,500 steps = 7,500 steps.

2. Calculate Steps Needed per Hour:

   • Marjam has 10 hours left in the day.
   • Steps needed per hour = 7,500 steps / 10 hours = 750 steps per hour.

Therefore, Marjam needs to take 750 steps each hour for the rest of the day to meet her goal.

Which graph most clearly communicates the solution?

Of the options given, the graph that most clearly communicates the solution is the one that shows a closed point plotted at 750 on the number line, indicating that this is the exact value of steps she needs to take each hour, along with the portion of the line extending to the right (which represents the possibility of exceeding 750 steps). This indicates that 750 steps is the minimum required amount per hour for her to meet her goal.

So, the image with the closed point plotted at 750 would be the best choice.