3. Agua Fria volleyball is trying to raise money for their program . In order to do so they decided to sell Pizza for different prices. pizzas. The function below represents the cost of pizza where x represent the day since October 20th.
Piece wise function
c(x) =
3; 0<= x <= 3
5 + x; 3 < x <= 6
8; 6 < x <= 11
a) what would be the cheapest time to buy the pizza?
b) Calculate c(9) - c(2)
14 - 7 = 7
To determine the cheapest time to buy the pizza, we need to find the lowest cost in the given piecewise function.
The function has three different ranges for x, so we need to evaluate the function for each range.
a) For 0 <= x <= 3:
In this range, the cost is a constant $3. Therefore, the cost of the pizza is the cheapest during this time.
b) To calculate c(9) - c(2), we need to substitute the values of 9 and 2 into the piecewise function and subtract the results.
For c(9):
Since 6 < 9 <= 11, we use the third portion of the function: c(9) = 8.
For c(2):
Since 0 <= 2 <= 3, we use the first portion of the function: c(2) = 3.
Therefore, c(9) - c(2) is equal to 8 - 3, which is equal to 5.
Thus, c(9) - c(2) = 5.