Question

grade 6 unit 7 georgia’s k-12 mathematics standards 3. a grocery store is located in the center of the town. the store is at 0 on the number line and is represented by a star. madison lives three blocks west of the grocery store and gavin lives 5 blocks west of the grocery store. plot the location of each house, the store, and give the numerical location of and madison’s house and gavin’s house. how far does each person live from the store? who live a greater distance from the store? write two inequality statements to compare the distance that each person lives from the grocery store. 4. there are two thermometers at the right. write two inequality statements to describe the relationship between the two thermometers, this work is licensed under a creative commons attribution – noncommercial – sharealike 4.0 international license © 2023 georgia department of education, all rights reserved last updated july 2024 page 6 of 12

Explanation:

Question 3 Solution:

Step 1: Determine Locations

West is negative on the number line. Madison: \( 0 - 3 = -3 \), Gavin: \( 0 - 5 = -5 \).

Step 2: Calculate Distances

Distance is absolute value. Madison: \( | -3 | = 3 \), Gavin: \( | -5 | = 5 \).

Step 3: Compare Distances

Gavin’s distance (\( 5 \)) > Madison’s (\( 3 \)), so \( 5 > 3 \) and \( 3 < 5 \).

Step 1: Read Temperatures

Left thermometer: \( 20^\circ \), Right: \( 60^\circ \).

Step 2: Write Inequalities

\( 20 < 60 \) (left < right) and \( 60 > 20 \) (right > left).

Answer:

• Madison’s location: \( -3 \), distance: \( 3 \) blocks.
• Gavin’s location: \( -5 \), distance: \( 5 \) blocks.
• Gavin lives farther. Inequalities: \( 5 > 3 \), \( 3 < 5 \).

Question 4 Solution: