Step-by-step explanation:

Answer:
The average rate of change for the given function, from x = −3 to x = 7 will be:
Step-by-step explanation:
Given the table
x f(x)
-3 50
3 10
7 0
As the interval is from x = -3 to x = 7.
so
at x₁ = -3, f(x₁) = 50
at x₂ = 7, f(x₂) = 0
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [0 - 50] / [7-(-3)]
= [-50] / [7+3]
= -50 / 10
= -5
Therefore, the average rate of change for the given function, from x = −3 to x = 7 will be:
Total number of guests = 16
Solution:
Number of pizzas the caterer usually makes = 4
Number of pizzas the caterer make for a large party = twice of 4
= 2 × 4
= 8
So,the caterer makes 8 pizzas for a large party.
Quantity of pizza eat by each guest =
of a pizza
Let the number of guests be taken as x.
Total guest in the party
= Total number of pizzas ÷ Amount of pizza eat by each guest.
⇒ 
Division changed into multiplication when the digit of the denominator is reversed.
⇒ 
⇒ x = 16
Hence pizzas served for 16 guests.
The total will be 57.23. Because tax would be 4.24 and add it to 52.99 and you get 57.23.