49
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 49 • Integrated Math I Semester 2 - LHS (2016)

A family is driving from Phoenix to San Francisco. On a map grid, Phoenix is located at (–12, –16), and San Francisco is located at (–36, 5). Along the trip, the family stops in Blythe, located at (–20, –9), and Los Angeles, located at (–33, –4) on the map. Find the total distance of the trip.

Answer
A
d = 21.26
B
d = 24.19
C
d = 28.24
D
d = 34.05

Explanation

Use the distance formula for each leg of the trip, then add the distances. Phoenix to Blythe is √(8² + 7²) ≈ 10.63, Blythe to Los Angeles is √(13² + 5²) ≈ 13.93, and Los Angeles to San Francisco is √(3² + 9²) ≈ 9.49. The total is about 10.63 + 13.93 + 9.49 = 34.05, so the best answer is D, d = 34.05.

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