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Mateo's home is 
x miles away from school. If Lexi's home is twice as far from school as Mateo's home, which of the following expressions represents the distance between Lexi's home and school, in miles?
Choose 1 answer:
(A) 
x-2
(B) 
x+2
(C) 
2x
(D) 
(x)/(2)

Mateo's home is x x miles away from school. If Lexi's home is twice as far from school as Mateo's home, which of the following expressions represents the distance between Lexi's home and school, in miles?\newlineChoose 11 answer:\newline(A) x2 x-2 \newline(B) x+2 x+2 \newline(C) 2x 2 x \newline(D) x2 \frac{x}{2}

Full solution

Q. Mateo's home is x x miles away from school. If Lexi's home is twice as far from school as Mateo's home, which of the following expressions represents the distance between Lexi's home and school, in miles?\newlineChoose 11 answer:\newline(A) x2 x-2 \newline(B) x+2 x+2 \newline(C) 2x 2 x \newline(D) x2 \frac{x}{2}
  1. Understand Relationship Distances: Understand the relationship between the distances from school to Mateo's and Lexi's homes. Mateo's home is xx miles away from school. Lexi's home is twice as far from school as Mateo's home. This means that Lexi's distance is 22 times Mateo's distance.
  2. Write Lexi's Distance Expression: Write the expression for Lexi's distance from school.\newlineSince Lexi's home is twice as far, we multiply Mateo's distance by 22.\newlineLexi's distance = 2×2 \times Mateo's distance\newlineLexi's distance = 2×x2 \times x
  3. Identify Correct Answer: Identify the correct answer from the given options.\newlineThe expression 2×x2 \times x corresponds to option (C) which is 2x2x.

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