Sarah is expanding her landscaping business. She currently has three regions in which she provides landscaping services, and intends to increase that by two regions every month. Each region begins with eight clients, and she intends to increase the number of clients by three every month. The estimate for the total number of clients is given by the expression below, where x is the number of months after Sarah begins the expansion.

Complete question is;

Sarah is expanding her landscaping business. She currently has three regions in which she provides landscaping services, and intends to increase that by two regions every month. Each region begins with eight clients, and she intends to increase the number of clients by three every month.

The estimate for the total number of clients is given by the expression below, where x is the number of months after Sarah begins the expansion.

6x² + 25x + 24

Use the information given to determine how best to complete the following sentences.

The constant of the expression represents the:

A.) increase in number of regions each month

B.) number of clients before the expansion

C.) maximum number of clients

D.) increase in the number of clients each month

The binomial (8 + 3x) is a factor of the expression, which represents the

A.) number of clients per region

B.) total number of clients

C.) total number of regions

per .

A) Option B - number of clients before the expansion.

B) Option A - number of clients per region

Step-by-step explanation:

A) We are told that each region begins with eight clients, therefore it is a constant. Since she tends to increase this number by additional 3 each month, it means that this constant represents the number of clients before the expansion.

B) The binomial (8 + 3x) represents the new number of clients per region since each region begins with eight clients, and that she tends to increase this number by additional 3 each month.

this story was prepared by jim

mccullaugh in los angeles and

al stewart in new york.

new york the colossal success of "top gun" appears to have dramatically altered madison avenue's

perception of corporate sponsorship

of home video projects.

the paramount home video re- lease, featuring a 60- second diet

pepsi spot, was by no means the

first prerecorded video to carry an advertiser's plug, but it was the

first major theatrical release to do so. in the aftermath of the title's

success, paramount is widely ex- pected to ink a similar deal for

"crocodile dundee" or "star trek

iv" or both.

corporate america's new attraccds push british

recording sales

to 19% gain

london fueled by the compact

disk boom, the value of u.k. manu- facturer shipments of recordings

rose 19% in the 12 -month period ended march 1987, according to the

british phonographic industry.

total value of u.k. shipments for

the period was $755 million for all

configurations. (all value figures

are based on an exchange rate of

$1.68 to the pound sterling.)

cd sales totaled 10.7 million units

worth $121.3 million- compared

with 3.7 million units worth $39.5

million in the prior 12 months -and

accounted for two -thirds of the

overall gain in trade value. at present growth rates, says the bpi, cd

sales for calendar 1987 will reach 20

(continued on page 79)

step-by-step explanation: