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Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \$6$6 for each hour of work. Her total fee for a 44-hour job, for instance, is \$32$32. Let F(t)F(t) denote Carolina's fee for a single job FF (measured in dollars) as a function of the number of hours tt it took her to complete it.

Respuesta :

Answer:

y=8+6t

Step-by-step explanation:

Answer:

[tex]F(t)=6t+8[/tex].

Step-by-step explanation:

Let t represent number of hours.

We have been given that Carolina charges $6 for each hour of work. So amount charged for t hours of work would be [tex]6t[/tex].

Let us find initial cost by subtracting charges for 4 hours from 32 as:

[tex]\text{Initial cost}=32-4\times 6[/tex]

[tex]\text{Initial cost}=32-24[/tex]

[tex]\text{Initial cost}=8[/tex]

The total cost for t hours of work would be initial cost plus cost per hour: [tex]6t+8[/tex].

Our required function would be [tex]F(t)=6t+8[/tex].

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