Question about Variables and Unknowns
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Variables and Unknowns
Variables and Unknowns
Difficulty Hard
Hard
(Originais Teachy 2024) - Question Hard of Mathematics
In an interdisciplinary study that combines Mathematics and Geography, 7th-grade students were challenged to calculate real distances between cities using scales and linear equations. Consider that on the map used, the distance between cities A and B is represented by 5.8 cm, while in the real world this distance is 406 km. Furthermore, it is known that city C is halfway between A and B, forming a straight line segment with both cities. If the distance between city A and C is denoted by 'x' km, and the distance between C and B is represented by 'y' km, and it is known that x + y = 406, determine the exact distance (in km) between cities A and C and between C and B. Consider that the scale of the map is constant for all directions.a.
The exact distance between cities A and C is 203 km, and the exact distance between C and B is 203 km.
b.
The exact distance between cities A and C is 102 km, and the exact distance between C and B is 304 km.
c.
The exact distance between cities A and C is 305 km, and the exact distance between C and B is 101 km.
d.
The exact distance between cities A and C is 406 km, and the exact distance between C and B is 0 km.
e.
The exact distance between cities A and C is 203 km, and the exact distance between C and B is also 203 km.
Answer sheet:
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