To find the smallest number of whole pizzas needed for lunch, we need to find the total amount of pizza that the group of 7 friends will eat.
Each person eats at least 3/4 of a pizza, which can be written as 3/4 * 1 = 3/4 of a pizza per person.
To find the total amount of pizza eaten by the group, we multiply the amount eaten per person by the number of people:
(3/4) * 7 = 21/4 = 5.25 pizzas
Since we cannot have a fraction of a pizza, we round up to the nearest whole number. Therefore, the smallest number of whole pizzas needed for lunch is 6.
Now let's go through each option and explain why it is right or wrong:
A. 6: This option is correct. If each person eats at least 3/4 of a pizza, then 6 whole pizzas would be enough for the group of 7 friends.
B. 5: This option is incorrect. 5 whole pizzas would not be enough for the group of 7 friends, as each person eats at least 3/4 of a pizza.
C. 28: This option is incorrect. 28 whole pizzas would be more than enough for the group of 7 friends, as each person eats at least 3/4 of a pizza.
D. 11: This option is incorrect. 11 whole pizzas would not be enough for the group of 7 friends, as each person eats at least 3/4 of a pizza.
The correct answer is A. 6.