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 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 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.

1 answer

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

  • The slope (1.50) means that for every additional phone assembled (each unit increase in \(x\)), your total pay increases by $1.50. So, if you assemble 1 more phone, your pay increases by $1.50.

  • The y-intercept (20) means that you receive $20 a day as a base pay, regardless of the number of phones produced. This is the amount you earn even if you assemble zero phones.

Therefore, the response that correctly interprets the slope and y-intercept 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.