Alfonso earns $16 per hour for the first eight hours of his shift. For each additional
hour he works beyond the first eight hours, he earns $24 per hour. If Alfonso
earned $320 from a single shift, how many hours long was that shift?
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Answer:

he worked a 16 hour shift. after his first 8 hours he worked 8 more. so 16 all together.

Step-by-step explanation:

The total time of the shift of work of Alfonso in which he earned $320 from a single shift is 8 hours.

What is the relation between work and time?

The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,

[tex]W=\dfrac{1}{n}[/tex]

Alfonso earns $16 per hour for the first eight hours of his shift. Thus, the total amount he earned in 8-hour shift is,

[tex]16\times8=128[/tex]

For each additional hour he works beyond the first eight hours, he earns $24 per hour. Let Alfonso worked x hours beyond her shift. Thus, the money earned by her in this additional x hours is,

[tex]24\times x=24x[/tex]

Alfonso earned a total $320 from a single shift. Thus,

[tex]128+24x=320\\x=\dfrac{320-128}{24}\\x=8\rm\; hours[/tex]

Hence, the total time of the shift of work of Alfonso in which he earned $320 from a single shift is 8 hours.

Learn more about the work and time here;

https://brainly.com/question/25572872

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