Question

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.

Answer 1

The function is given by

$\\ \tt\hookrightarrow D(p)=1500-25p$

• Price must be greater than 0

$\\ \tt\hookrightarrow 1500-25p\geqslant 0$

$\\ \tt\hookrightarrow 1500\geqslant 25p$

$\\ \tt\hookrightarrow p\leqslant 60$

Now

$\\ \tt\hookrightarrow D_f\in (-\infty,60]$