WHAT'S INCLUDED:

• Google Classroom
• Task Card
• 6 Jobs/ Professions where this Math is used or can be used.

This lesson is aligned with §111.29. Grade 8, Middle School Advanced Mathematics, Adopted 2025.

• TEKS Math.8.2D: write and solve equations involving direct variation;

24 Questions:

1. Which of the following best describes a direct variation relationship?
   
2. In the equation y = kx, what does the constant k represent?
   
3. Which of these equations represents a direct variation?
   
4. Which of the following is not a feature of a graph of a direct variation?
   
5. A student claims: “If y varies directly with x and y = 12 when x = 3, then the equation must be y = 4x.” Which statement below evaluates this claim?
   
6. A classmate says: “The graph of a direct variation can intersect the y-axis above the origin.” Which response is most accurate?
   
7. Kyla tracked her typing progress while working on a report. The graph shows how many pages she typed over time, starting from zero. Based on the figure, what equation represents this direct variation?
   
8. Julian is making bracelets. For every hour he works, he completes five more bracelets. The table shows how many bracelets he completed after several hours. Which equation represents the number of bracelets Julian makes over time?
   
9. Sara earns money for babysitting. She earns $48 after 6 hours. If her earnings vary directly with time, what is the equation of her earnings?
   
10. A local bike shop rents out bikes at a flat rate per hour. Based on the receipt, which equation shows the relationship between cost and hours?
    
11. A car rental company charges a flat fee of $0, plus $0.20 per mile. Which equation best models this direct variation?
    
12. An interior designer is purchasing fabric by the meter. The cost increases with every meter bought. Which equation best represents the cost of fabric per meter?
    
13. Ella is timing her daily walk. A graph shows that she walked at a steady pace for the first 3 kilometers, then rested at a park bench without moving for 2 more minutes. Does this graph represent a direct variation?
    
14. A tree grows 18 inches in 3 months. Assuming direct variation, how tall will it be after 10 months?
    
15. Drew worked as a part-time painter for three days. The company paid him consistently each day, as shown in the table. What can you conclude about the company’s pay rate based on the data?
    
16. Riya creates digital sketches on commission. Her customer paid $300 for 4 sketches, and the receipt shows she charges the same amount for each piece. What equation models Riya’s sketch pricing?
    
17. Mia created a bracelet-making business. She charges $5 for each bracelet and made $85 so far. Which reasoning is accurate?
    
18. At a local market, fruit baskets are sold for a fixed price per basket. Based on the graph, what would 8 baskets cost?
    
19. James tracked how far he jogs. In 40 minutes, he covered 5 km. Assuming direct variation, how long to jog 8 km?
    
20. Dino Ice Supply charges customers based on the number of bags of ice purchased. Which equation matches the relationship between cost and bags of ice?
    
21. Clara’s phone plan charges directly based on minutes used. She paid $30 for 120 minutes. What will she pay for 200 minutes?
    
22. At a gas station, a customer fills up their tank with fuel costing $1.60 per liter. How many liters of fuel were purchased?
    
23. Leo is printing out custom posters. The graph shows a linear increase. Based on the graph, what is the cost of printing 15 posters?
    
24. A juice stand sells bottled juices for $2.25 each. A customer receives a receipt showing they paid $18.00. What equation models the relationship between total cost and number of bottles bought?