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AssignmentMultiple Select

Solving Mixture Problems

Question 1 • GA-Algebra: Concepts and Connections A

Abigail drives at an average speed of 60 miles per hour for 3 hours. The graph shows her distance versus time. Which statements are true? Check all that apply.

Answer
A
As Abigail’s time increases, her distance increases.
B
As Abigail’s time increases, her distance decreases.
C
At 2 hours, Abigail has traveled 120 miles.
D
At 1.5 hours, Abigail has traveled 100 miles.
E
At 3 hours, Abigail has traveled 180 miles.

Explanation

At an average speed of 60 miles per hour, Abigail’s distance is 60 times the number of hours. Her distance therefore increases as time increases, and after 2 hours she has traveled 60 × 2 = 120 miles. After 1.5 hours she has traveled 90 miles, not 100; after 3 hours she has traveled 60 × 3 = 180 miles.

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