Answer:
1. 42 people can be seated
2. 16 tables should be used.
Explanation:
Part 1:
Since we are given the function, p(n) = 4n + 2, we need to plug in 10 to "n." This is because "n" represents the number of tables as stated on the top of the pciture. And "p(n)" represents the number of people that can be seated.
p(n) = 4(10) + 2
p(n) = 40 + 2
p(n) = 42
Part 2:
For this question, since we are given 65 as the total number of people that can be seated, we would plug in 65 in "p(n)", to result in the following equation.
p(65) = 4n + 2
Then solve the equation and use the property of inverse operation.
65 = 4n + 2
65 - 2 = 4n + 2 - 2
63 = 4n
63/4 = 4n/4
15.75 = n
Although we're given 15.75 as the number of tables that should be used, we can't really have a 0.75 of a table, so we would round 0.75 to 1.
15 + 1 = 16
16 tables are required.