2
QuizMultiple Select
Exploring Systems in the Real World
Question 2 • Mathematics III A
Jalynn and Emma enjoy hiking. Jalynn hikes 1 mile in 20 minutes. Emma hikes at a rate of 3 miles per hour. On Sunday at 8:00 a.m., they both left the trail head. The line representing Jaylynn’s progress is graphed. Which statements are true about the system that models this scenario?
Answer
A
The lines will have equal slopes so there is no solution.B
The equations are equivalent so there are an infinite number of solutions.C
The equations have only one solution at (0, 0) since the hikers walk at different speeds.D
Both lines will have a y-intercept of (0, 0) since both hikers start at 8:00 a.m.E
As shown on the graph, both lines have a slope of because one must convert to the same units of time.