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

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 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 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 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.

GPT-4o mini · Answer

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

Slope (1.50): This means that for every phone assembled (represented by $x$), you receive an additional $1.50. So, the slope indicates the amount of money you earn per phone assembled.
Y-intercept (20): This means that you receive $20 a day, regardless of the number of phones produced (when $x = 0$). The y-intercept represents your base daily pay.

So the best response from the provided options 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.