Acompany needs to package 2,400 pencils. a box in the shape of a rectangular prism can hold 60 pencils. a cylindrical container can hold 80 pencils. each box costs the company $0.50, while each cylindrical container costs $0.75.

which packaging should the company use to minimize cost? explain.

a. the rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.

b. the cylindrical containers should be used because they will cost the company $2.50 less than using the rectangular boxes.

c. the rectangular prism boxes should be used because they will cost the company $5.00 less than using the cylindrical containers.

d. the cylindrical containers should be used because they will cost the company $5.00 less than using the rectangular boxes.

Each rectangular prism box costs the company $0.50, while each cylindrical container costs $0.75. You have to count how many boxes or cylindrical containers the company should buy and what is the total cost in each case.

1. 2,400 : 60 = 40 - the amount of rectangular prism boxes that can contain 2,400 pencils.

$0.50 · 40 = $20 - the total cost if packing in boxes.

2. 2,400 : 80 = 30 - the number of cylindrical containers that can contain 2,400 pencils.

$0.75 · 30 = $22.50 -  the total cost if packing in containers.

Therefore, $20 < $22.50 and the difference is $2.50.

choice A - The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.