Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she works, she is paid 1.5 times her hourly wage. If Daisy works for x hours in a day, and x is greater than 8, the expression giving her net earnings for the day is . If Daisy works 13 hours, she will be paid .( _)
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The total number of hours daisy works is 'x' and the total earning in x hours be 'E' then the expression giving her net earnings for the day will be, [tex]\rm E = 15x-40[/tex] and if Daisy works 13 hours, she will be paid $155 and this can be evaluated by forming the linear equation.

Given :

Daisi is paid $10 per hour for the first 8 hours she works in a day.
Every extra hour she works, she is paid 1.5 times her hourly wage.

Let the total number of hours daisy works be 'x' and the total earning in x hours be 'E' then the expression giving her net earnings for the day will be:

[tex]\rm 8\times10+(x-8)\times 1.5\times 10 = E[/tex]

[tex]\rm E = 80+15x - 120[/tex]

E = 15x - 40 --- (1)

Equation (1) gives expression of her net earning in a day.

Now, if Daisy works 13 hours, she will be paid:

[tex]\rm E = 15\times13 -40[/tex]

E = $155

Therefore, if Daisy works 13 hours, she will be paid $155.

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