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)ResponsesThe 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.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.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.

1 answer

The correct interpretation of the slope and y-intercept of the equation \( y = 1.50x + 20 \) is:

  • The slope (1.50) means that for every phone assembled (not for every 20), you receive $1.50. In other words, your earnings increase by $1.50 for each additional phone you assemble.
  • The y-intercept (20) means that you receive $20 a day regardless of the number of phones produced. This is your base pay for working, regardless of productivity.

So the third option is the correct response:

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.