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8 th Grade Unit 2 Assessment. Interpreting Functions. Question 1. Wardy Tee’s prints t-shirts for $11 each. There is also a startup cost of $50 for the order. Write an equation that models this situation. Question 2. Sketch a linear graph that is decreasing. Question 3.
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8th Grade Unit 2 Assessment Interpreting Functions
Question 1 WardyTee’s prints t-shirts for $11 each. There is also a startup cost of $50 for the order. Write an equation that models this situation.
Question 2 Sketch a linear graph that is decreasing.
Question 3 Rob is throwing a birthday party at All-Play. It will cost him $100 to reserve the space at All-Play. In addition, he has to pay $15 for each of his guests to receive tokens. Write an equation that represents the total cost (y) of the party.
Question 4 Sketch a linear graph that has a zero slope.
Question 5 • Harry is moving to a new home and needs to rent a truck. He has to pay $19.95 for the truck. He then has to pay $0.70 for every mile that he drives the truck. Write an equation that represents the total cost (y) of renting the truck.
Question 6 • Sketch a graph with a constant rate of change and with an initial value of 3.
Question 7 • Sally is raising money by selling t-shirts for her choir group. She had to pay $40 for the box of t-shirts. The equation y=8x – 40 represents this situation where x is the number of t-shirts sold and y is the total amount of money raised. • In at least one sentence, describe what the 8 represents in the context of this problem.
Question 7 cont. • Sally is raising money by selling t-shirts for her choir group. She had to pay $40 for the box of t-shirts. The equation y=8x – 40 represents this situation where x is the number of t-shirts sold and y is the total amount of money raised. • In at least one sentence, explain why the equation is subtracting 40.
Question 8 • The graph to the right shows Mary’s trip to the store. • Between which interval(s) was her speed increasing?
Question 8 cont. • The graph to the right shows Mary’s trip to the store. • Between which interval(s) did her speed stay the same?
Question 9 • George and Tommy are running home. George gives Tommy a head start of 4 minutes. George runs at a pace of 7 minutes per mile and Tommy runs at a pace of 8 minutes per mile. The equations that represent George and Tommy’s runs are below. • George: y = 7x • Tommy: y = 8x + 4 • Describe in at least one sentence what the variable x represents in the equations above.
Question 9 cont. • George and Tommy are running home. George gives Tommy a head start of 4 minutes. George runs at a pace of 7 minutes per mile and Tommy runs at a pace of 8 minutes per mile. The equations that represent George and Tommy’s runs are below. • George: y = 7x • Tommy: y = 8x + 4 • Describe in at least one sentence what the variable y represents in the equations above.
Question 10 • Create a story that has a rate of change of 8 and an initial value of 10. Define the variables and write the equation that represents the story.
Congratulations! You are finished – turn in your test and enjoy the long weekend!