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johns commute to work is twice as far as janes commute. select the expr…

Question

johns commute to work is twice as far as janes commute.

select the expression that represents how many miles john and jane commute to work altogether each day.

a.) \\(2(x + x)\\)

b.) \\(x^2\\)

c.) \\(2x + x\\)

d.) \\(2x + 1\\)

Explanation:

Define variables for the commutes

Let \(x\) represent the distance of Jane's commute in miles.

Express John's commute and the total distance

Since John's commute is twice as far as Jane's, John's commute is \(2x\).
The total distance they commute altogether is the sum of their individual commutes:

$$2x + x$$

Answer:

  • a.) \(2(x + x)\)
  • b.) \(x^2\)
  • c.) \(2x + x\) (Correct answer)
  • d.) \(2x + 1\)