During a typical evening in Seattle, Pagliacci 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? Assume Pagliacci starts taking or-
ders at 5:00 pm and the profit is a constant rate of $11 on 10 orders. When will phone order
profit exceed $1,000?

1080 pies are sold in 4 hours

Profits will exceed $1,000 at 8:22pm

Step-by-step explanation:

First find how many 4 minute periods are in 4 hours.

240 minutes in 4 hours so divide by 4

240/4 =60

Now multiply by 18 to find total orders.

60x18

1080 order in 4 hours

Divide by 18/4 to find order per min

18/4= 4.5

Now if there is an $11 profit for 10 orders then the profit is 1.1 times the order so now you divide 1000 by 1.1.

1000/1.1=909.09

divide by 4.5

909.09/4.5=202

202 minutes=3 hours and 22 minutes

Profits will exceed $1,000 at 8:22pm

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl