Question

3 answer parts!!

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.
6x^2+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.) number of regions
B.) number of clients
C.) month

Answer 1

#1 - B.) number of clients before the expansion ; #2 - A.) number of clients per region

Explanation:

#1 - 24 in this related function to this expression would be the y-intercept. This would be the point where x = 0; in this case, x is the number of months, so this would be the number of clients month 0. This means the number of clients before the expansion.

#2 - Each region begins with 8 clients; this is the 8 in this binomial. Each region increases by 3 clients each month, and x is the number of months; this is the 3x in the binomial. This means 8+3x is the number of clients in each region.

Answer 2

1) The constant of the expression represents the:
B.) number of clients before the expansion

2) The binomial (8 + 3x) is a factor of the expression, which represents the
A.) number of clients per region

3) What is the third question?