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

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.

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.

Answer 1

To solve the problem, we start by calculating how many more steps Marjam needs to take to reach her goal of 10,000 steps for the day.

1. Calculate Remaining Steps Needed: Marjam has already taken 2,500 steps. Therefore, the remaining steps she needs to take to reach her goal is:

   \[ 10,000 - 2,500 = 7,500 \text{ steps} \]

2. Calculate Steps Per Hour: There are 10 hours left in the day, so to find out how many steps she needs to walk each hour, we divide the remaining steps by the number of hours:

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

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

Which graph communicates the solution most clearly?

The most suitable graph for this problem is:

• "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."

This graph shows the precise need (750 steps) relative to steps per hour for the remainder of the day and communicates the solution clearly in a visual format.