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a small drone is being used to carry goods from one place to another. t…

Question

a small drone is being used to carry goods from one place to another. the drone carries 6.7 pounds per trip. it carries a total of 87.1 pounds during its deliveries. which multiplication equation can be used to find how many trips t the drone takes?
a) t = 6.7(87.1)

b) 87.1t = 6.7

c) 6.7t = 87.1

d) 6.7t = 87.1t

Explanation:

Step1: Define Variables and Relationship

Let \( t \) be the number of trips. The drone carries \( 6.7 \) pounds per trip, so total pounds carried is \( 6.7 \times t \). The total pounds is \( 87.1 \). So the equation is \( 6.7t = 87.1 \).

Step2: Match with Options

Check each option:

  • Option A: \( t = 6.7(87.1) \) is incorrect as it misrepresents the relationship.
  • Option B: \( 87.1t = 6.7 \) swaps the total and per - trip amount.
  • Option C: \( 6.7t = 87.1 \) matches our derived equation.
  • Option D: \( 6.7t = 87.1t \) implies \( 6.7 = 87.1 \) which is false.

Answer:

C) \( 6.7t = 87.1 \)