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Suppose the function D(p)=1500-25p represents the demand for hot dogs, whose price is p, at a baseball game. Find the domain of the function.

Sagot :

The function is given by

[tex]\\ \tt\hookrightarrow D(p)=1500-25p[/tex]

  • Price must be greater than 0

[tex]\\ \tt\hookrightarrow 1500-25p\geqslant 0[/tex]

[tex]\\ \tt\hookrightarrow 1500\geqslant 25p[/tex]

[tex]\\ \tt\hookrightarrow p\leqslant 60[/tex]

Now

[tex]\\ \tt\hookrightarrow D_f\in (-\infty,60][/tex]