At the beginning of the first day, a company has 64 shipping crates on backorder. by the end of each day, customers order 18 more shipping crates. if the company employees work overtime and make 28 shipping crates every day, how many crates will be on backorder at the beginning of the fifth day? a. 14 b. 16 c. 34 d. 24

The correct answer option is A. 14.

Step-by-step explanation:

Assume x to be the number of days.

On the first day, the company begins with 64 orders and gain 18 more orders per day which makes it 18x and we get:

64 + 18x

Moreover 28 crates per day are made, which decreases the number of crates that are needed per day by 28 which makes it -28x, and we get:

64 + 18x - 28x

Combining like terms, we get

64 - 10x

For day 5, we substitute the value of x with 5:

64 - 10(5) = 64 - 50 = 14

Therefore, 14 crates will be on back-order at the beginning of the fifth day.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.