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Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \$6$6dollar sign, 6 for each hour of work. Her total fee for a 444-hour job, for instance, is \$32$32dollar sign, 32. Let FFF represent Carolina's fee (in dollars) for a single job that took ttt hours for her to complete.

Respuesta :

Answer: Our required function F(t) would be

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

Step-by-step explanation:

Since we have given that

Let the number of hours be 't'.

Amount for each hour = $6

Let F(t) be the total fee for a single job that took t hours for her to complete.

[tex]F(t)=6t+x[/tex]

According to question, for 4 hour job, total fee is $32.

So, it becomes,

[tex]32=6\times 4+x\\\\32=24+x\\\\32-24=x\\\\\$8=x[/tex]

Hence, our required function F(t) would be

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