Question

During a typical evening, a pizzeria receives phone orders for pizza delivery at a constant rate: 18 orders in a typical 4 minute period. How many pies are sold in 4 hours?

_______pies

Assume the pizzeria starts taking orders at 4:00 PM and the profit is a constant rate of $11 on 10 orders. When will phone order profit exceed $1,000? (Round your answer to the nearest minute.)
: PM

Answer 1

1080 orders is made after 4hours

When profit exceeds $1000, the time will be 7:22 PM

Explanation:

1. Let No of order be O and time be T

O ∝ T

O = KT

K = O ÷ T

K = 18 ÷ 4 = 4.5

Total no of orders in 4hrs (240min) will be

O = 4.5 × 240 = 1080 orders

2. Total orders made from profit of $1000 is evaluated.

10 orders give $11

x orders will give 909.09091 orders

time required to reach 909.09091 orders is then evaluated

1080 orders is placed in 4hrs

909.09091 orders will be placed in x hours

upon cross multiplication

x = 3.3670034 hours which is equivalent to 202.020202 minutes

When that's added to 4:00 PM, the answer is 7:22PM minutes to the nearest minute.