Grade 8 | Unit 3: Linear Relationships | End-of-Unit Assessment (B)

Select all the equations on which the point $$(10,0)$$ lies.

A successful music app tracked the number of song downloads each day for a month for 4 music artists, represented by lines $$\ell$$ , $$j$$ , $$m$$ , and $$d$$ over the course of a month. Which line represents an artist whose downloads remained constant over the month?

A pool holds 19,900 gallons of water. There are two hoses that can be used to fill the pool, a large one and a small one. On an average day, it takes 5 hours to fill the pool with the large hose and 12 hours with the small hose. Which graph best represents this scenario?

Write an equation for each line.

Noah is growing three different types of trees. He is keeping track of the height of each tree over time. This equation represents the height (in feet) of the first tree over $$m$$ months: $$h=3.5m$$ . The second tree’s information is in the table below. This graph shows how long, in months, it takes the third tree to grow $$h$$ feet.

A sandwich store charges a $10 delivery fee, and $4.50 for each sandwich. What is the total cost (sandwiches and delivery charge) if an office orders 6 sandwiches? What is the total cost for $$x$$ sandwiches? Graph the total cost of sandwiches and delivery based on the number of sandwiches ordered. Be sure to label your axes and scale them by labeling each gridline with a number. Is there a proportional relationship between the number of sandwiches and the cost of the order? Explain how you know. At a different sandwich shop, there is a $5 delivery fee, and each sandwich costs $4.50. On the same grid, graph the total cost of sandwiches and delivery based on the number of sandwiches ordered for this new shop. Describe how the two graphs are the same and how they are different.

A truck is shipping jugs of drinking water and cases of paper towels. A jug of drinking water weighs 40 pounds and a case of paper towels weighs 16 pounds. The truck can carry 2,000 pounds of cargo altogether. Complete the table showing three ways the truck could be packed with jugs of water and cases of paper towels. Write an equation relating the number of jugs of water and the number of cases of paper towels the truck can carry. Sketch a graph of the solutions to your equation.