Using Trend Lines Practice

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Question
You work for a manufacturing company on a production line that manufactures cell phones. You are paid $30 a day plus $0.75 for each phone that you assemble. Predict your wages if you assemble 100 phone in one day, using the equation of the trend line y=0.75x+30
, where x
is the number of phones assembled in one day and y
is the total wages. Write your wages in dollars and cents.(1 point)
Your wages are $
.

1 answer

To calculate your wages using the equation of the trend line \( y = 0.75x + 30 \) where \( x \) is the number of phones assembled, you can substitute \( x \) with 100 (since you assembled 100 phones).

Here's the calculation:

  1. Substitute \( x = 100 \) into the equation: \[ y = 0.75(100) + 30 \]

  2. Calculate \( 0.75 \times 100 \): \[ 0.75 \times 100 = 75 \]

  3. Add 30: \[ y = 75 + 30 = 105 \]

Therefore, your wages are $105.00.