Using Trend Lines Quick Check

Question

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 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.

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.
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GPT-4o mini · Answer

To interpret the equation of the trend line $y = 1.50 x + 20$ :

Slope (1.50): This represents the amount earned for each phone assembled. Specifically, for each phone (each unit increase in $x$ ), you earn an additional $1.50.
Y-intercept (20): This is the starting pay you receive regardless of the number of phones produced. It means you receive $20 a day even if you assemble zero phones.

Based on 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.