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(a)
We are given
A worker on the production line is paid a base salary of $230.00 per week
so, base salary =230
Let's assume number pencils produced as x
plus $0.78 for each unit produced
now, we can find equation for earnings
now, we are given
her earnings of $446.84 for a week when she produced x units
so, we can set E(x)=446.84
and then we can solve for x
so, number of pencils = 278........Answer
(b)
If the worker had produced twice that number of units
so, number of pencils =2*278=556
now, we can find earnings
now, we can plug x=556
.................Answer