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.

figure c

step-by-step explanation:

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