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Emma took a taxi from the airport to her house. She paid a flat fee of $5 plus $3.70 per mile. The fare came to $42. Complete the equation that can be used to find the correct distance "d" in miles and then solve it to determine distance.

a. 42 = 5 + 3.70d
b. 42 = 5d + 3.70
c. 42 = 5 - 3.70d
d. 42 = 5d - 3.70

1 Answer

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Final answer:

The correct equation to find the distance 'd' that Emma travelled by taxi is 42 = 5 + 3.70d. By solving this equation, we find out that Emma travelled 10 miles.

Step-by-step explanation:

To find the correct distance 'd' in miles that Emma travelled, we can use the equation provided. The equation that correctly represents the situation is:

42 = 5 + 3.70d

Now we solve for 'd' step by step.

  1. Subtract 5 from both sides of the equation:
  2. 42 - 5 = 3.70d
  3. 37 = 3.70d
  4. Divide both sides by 3.70 to isolate 'd':
  5. d = 37 / 3.70
  6. d = 10

So, Emma travelled 10 miles from the airport to her house.

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