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 .

Answer 1

In the given equation of the trend line, y = 1.50x + 20, x represents the number of phones assembled and y represents the total amount of money earned in a day.

The slope of the equation is 1.50, which means that for every additional phone assembled (x), the total amount of money earned (y) increases by $1.50. This represents the additional income earned per phone assembled. In other words, the slope of 1.50 indicates the incremental increase in earnings for each additional unit produced.

The y-intercept of the equation is 20, which represents the base pay of $20 received each day, regardless of the number of phones assembled. Even if no phones are assembled (x = 0), the worker would still earn $20 as the base pay. Hence, the y-intercept represents the fixed salary received by the worker.

In summary, the equation y = 1.50x + 20 represents the relationship between the number of phones assembled (x) and the total earnings (y) in a day. The slope of 1.50 represents the additional earnings per phone, while the y-intercept of 20 represents the base salary.