At the post office, Amaya sorted 40 letters in 16 minutes. After a total of 32 minutes, she has sorted 80 letters. What coordinates would represent her work?

a. (40, 16) and (80, 32) b. (16, 40) and (32, 80)

c. (40, 16) and (32, 80) d. (32, 40) and (16,80)

c. (40, 16) and (32, 80)

To determine the coordinates that represent Amaya's work, we need to identify the number of letters she sorted and the time it took her in each scenario.

In the first scenario, Amaya sorted 40 letters in 16 minutes. The coordinates for this scenario would be (40, 16).

In the second scenario, Amaya sorted 80 letters in 32 minutes. The coordinates for this scenario would be (80, 32).

Therefore, the correct answer is option a. (40, 16) and (80, 32).

To find the correct answer, we can analyze the information given in the question. We know that Amaya sorted 40 letters in 16 minutes and a total of 80 letters in 32 minutes. The number of letters sorted is represented on the x-axis, and the time taken is represented on the y-axis.

Therefore, the correct coordinates for Amaya's work would be (40, 16) and (80, 32). So, the correct answer is (a) (40, 16) and (80, 32).