Inequalities Unit Test 12 of 1512 of 15 Items Question 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 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 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 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. Skip to navigation
The correct answer is:
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.
Use the image to answer the question. What inequality is shown on the graph? Write your inequality with the variable coming first. Use the letter m for the variable. Write your answer using a decimal number. (1 point)
The inequality shown on the graph is:
m ≥ 7.5
Solve this problem by writing and solving an inequality. Five more than four times a number is less than 25. What are the possible values of the number? Show your work. (4 points)
Let's solve the problem step by step.
Step 1: Assign a variable to the unknown number.
Let's say the unknown number is represented by the variable 'x'.
Step 2: Write an inequality to represent the given condition.
The inequality "Five more than four times a number is less than 25" can be represented as:
4x + 5 < 25
Step 3: Solve the inequality for 'x'.
Subtract 5 from both sides of the inequality:
4x < 20
Divide both sides of the inequality by 4:
x < 5
Step 4: Interpret the solution.
The solution to the inequality is x < 5, which means that the unknown number 'x' can take any value less than 5.
Therefore, the possible values of the number are all real numbers less than 5.