We know that the cost of the rental space is $780 and the price per person for food is $9.75
We have the next equation
[tex]y=mx+b[/tex]Where,
- y = total budget = $1500
- m = price of food per person = $9.75
- x = number of guests
- b = cost of rental space = $780
Now, replacing the values the equation that represents the situation is
[tex]1500=9.75x+780[/tex]Now, to know how many people could be invited we must solve the equation for x
[tex]\begin{gathered} 1500=9.75x+780 \\ 1500-780=9.75x \\ x=\frac{1500-780}{9.75}=73.846 \end{gathered}[/tex]Finally, as the answer measures people we must approximate the result to the smallest and immediate integer of the value found for x.
So, 73 people can be invited
