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IrinaK [193]
3 years ago
7

A worker on the production line is paid a base salary of ​$230.00 per week plus ​$0.78 for each unit produced. Write an equation

to represent her earnings of ​$446.84 for a week when she produced x units. How many units did she ​produce? Use pencil and paper. If the worker had produced twice that number of​ units, what would his earnings have​ been? Here is what it should look like, 446.84=230+.78x
How Many Units did they make
Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0

(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

E(x)=230+0.78x

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

446.84=230+0.78x

230\cdot \:100+0.78x\cdot \:100=446.84\cdot \:100

23000+78x=44684

23000+78x-23000=44684-23000

78x=21684

\frac{78x}{78}=\frac{21684}{78}

x=278

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

E(x)=230+0.78x

now, we can plug x=556

E(556)=230+0.78*556

E(556)=663.68.................Answer


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