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]`