You work for a manufacturing company on a production line that manufactures cell phines. You are paid $20 a day plus $1.50 for each phone thaat you assembe. Interpret the slope and y--intercept of the equation of the trend line y=1.50x+20.

Answer 1

The equation of the trend line, \(y = 1.50x + 20\), represents your total daily earnings from assembling cell phones, where:

• \(y\) is your total earnings for the day.
• \(x\) is the number of phones you assemble.

Interpretation of Slope:

The slope of the equation is \(1.50\). This represents the additional earnings you make for each phone assembled. In this context, it means that for every cell phone you assemble, your total earnings increase by $1.50.

Interpretation of y-Intercept:

The y-intercept of the equation is \(20\). This is the value of \(y\) when \(x = 0\), which means it represents your base daily earnings when you assemble zero phones. In this case, your daily earnings would be $20, which is the flat rate you receive just for being on the job, regardless of how many phones you produce.

Summary:

• The slope ($1.50) indicates how much your earnings increase for each additional phone assembled.
• The y-intercept ($20) indicates your guaranteed base pay for the day, even if no phones are assembled.