Math Problem Statement
John is driving to his office to attend a meeting. In the first 10 minutes, he covers a distance of 1 mile every minute. Then he stops at a local restaurant for 15 minutes to have breakfast. After that, he covers a distance of 0.5 miles every minute in the next 10 minutes to reach his office.
Which graph models the piecewise function for the given situation?
A. A graph plots the number of minutes versus distance traveled in miles. A curve rises from (0, 0) through (10, 5) extends linearly through (25, 5), and rises through (35, 15) on the x y coordinate plane. B. A graph plots the number of minutes versus distance traveled in miles. A curve rises from (0, 0) through (10, 10) extends linearly through (25, 10), and declines through (35, 5) on the x y coordinate plane. C. A graph plots the number of minutes versus distance traveled in miles. A curve rises from (0, 0) through (10, 10) extends linearly through (25, 10), and then rises through (35, 15) on the x y coordinate plane. D. A graph plots the number of minutes versus distance traveled in miles. A curve rises from (0, 0) through (10, 10) extends linearly through (25, 10), and rises through (35, 20) on the x y coordinate plane.
Solution
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Math Problem Analysis
Mathematical Concepts
Piecewise Functions
Linear Functions
Graphing
Formulas
Distance = Rate × Time
Theorems
Concept of Piecewise Functions
Suitable Grade Level
Grades 9-10