Question

5. The number of people (n) who will attend a dance depends on the admission price (p), in dollars. This relationship is represented by the equation shown belown = 800 - 50pWhich of these is a correct interpretation of the slope of this equation?(A)For every dollar the admission price increases, 800 fewer people will attend.(B)For every dollar the admission price increases, 50 fewer people will attend.(C)If the admission price is free, then 50 people will attend.(D)If the admission price is free, 800 people will attend.

Answer 1

B. For every dollar the admission price increases, 50 fewer people will attend.

Step-by-step explanation:

The given equation is:

`n=800-50p`

The slope of the equation = -50.

`\begin{gathered} \text{When p=1,}n=800-50(1)=750 \\ \text{When p=2,}n=800-50(2)=700 \end{gathered}`

Thus, the slope of this equation means that for every dollar the admission price increases, 50 fewer people will attend.