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

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 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.

Answer 1

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

1. Calculate how many steps she still needs:

   • Marjam's goal: 10,000 steps
   • Steps already taken: 2,500 steps
   • Steps still needed: 10,000 - 2,500 = 7,500 steps

2. Determine how many steps she needs to take each hour for the remaining time:

   • Time left in the day: 10 hours
   • Steps needed per hour: 7,500 steps / 10 hours = 750 steps/hour

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

Regarding the graph that most clearly communicates the solution:
The first graph describes Marjam's steps per hour accurately by having a closed point at 750 steps, indicating this is where she needs to stay over to achieve her goal. This graph shows that if she walks 750 steps every hour, she will achieve her goal.

Therefore, the correct answer is:
The first option: An illustration shows a number line labeled Marjam’s Steps per Hour for the Remainder of the Day with a closed point plotted at 750.