Question

Heyyyyyyyyyyyyyyyyyyyyyyyyyy

Answer 1

We have been given that

It will cost $16 to host 4 attendees

To find the maximum number of attendees that fit into his $20 budget.

Step 1: Obtain the relationship

Since the relationship is directly proportional

If

C represents cost

and A represents attendees,

then mathematically, we can represent the relationship as follow

`\begin{gathered} C=\text{ kA} \\ \text{where k is constant} \\ k=(C)/(A) \end{gathered}`

When c= $16 and a=4

The value of the constant will be

`k=(16)/(4)=4`

Hence the relationship is

`C=4A`

Step 2: Find the number of attendees that will fit into the $20 budget

In this case, we will find A

`\begin{gathered} A=(C)/(4) \\ where\text{ C = 20} \\ A=(20)/(4) \\ \\ A=5\text{ attend}ees \end{gathered}`

Answer = 5 attendees