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the city pays students $50 per day to serve snow cones at the local summer festival. Analyze the potential earnings of a student who works the whole week of the festival if working partial days is not permitted. this situation can be modeled by the function f(x)=50x.What is a reasonable maximum value for the dependent variable? Explain how you arrived at your answer.

Respuesta :

Given:

The per day earning $50

The function is

[tex]f(x)=50x[/tex]

Find-:

The maximum value of earning

Explanation-:

The function is

[tex]f(x)=50x[/tex]

Where,

[tex]x=\text{ Number of days}[/tex]

The students work for a whole week.

[tex]1\text{ week }=7\text{ Days}[/tex]

So the maximum value is

[tex]\begin{gathered} f(x)=50x \\ \\ x=7 \\ \\ f(7)=50\times7 \\ \\ f(7)=350 \end{gathered}[/tex]

The maximum earning is $350