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Using Trend Lines Quick Check

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Question
You work for a manufacturing company on a production line that manufactures cell phones. You are paid $20 a day plus $1.50 for each phone that you assemble. Interpret the slope and y
-intercept of the equation of the trend line y=1.50x+20
.(1 point)
Responses

The slope means that, for every 1.50 phones assembled, you receive $1. The y
-intercept means that you receive $20 a day regardless of the number of phones produced.
The slope means that, for every 1.50 phones assembled, you receive $1. The y -intercept means that you receive $20 a day regardless of the number of phones produced.

The slope means that, for every 20 phones assembled, you receive $1.50. The y
-intercept means that you receive $20 a day regardless of the number of phones produced.
The slope means that, for every 20 phones assembled, you receive $1.50. The y -intercept means that you receive $20 a day regardless of the number of phones produced.

The slope means that, for every phone assembled, you receive $1.50. The y
-intercept means that you receive $20 a day regardless of the number of phones produced.
The slope means that, for every phone assembled, you receive $1.50. The y -intercept means that you receive $20 a day regardless of the number of phones produced.

The slope means that, for every phone assembled, you receive $20. The y
-intercept means that you receive $1.50 a day regardless of the number of phones produced

1 answer

In the equation \( y = 1.50x + 20 \):

  • The slope (1.50) represents the amount of additional money earned for each phone assembled. Specifically, it means that for every phone assembled, you earn an additional $1.50.
  • The y-intercept (20) represents the base amount earned regardless of the number of phones produced. This means you receive $20 a day simply for being on the job, independent of any phone assembly.

Given this interpretation, the correct response is:

The slope means that, for every phone assembled, you receive $1.50. The y-intercept means that you receive $20 a day regardless of the number of phones produced.