Alawn-mowing company is trying to grow its business. it had 26 clients when they started its business and wants to increase by 3 new clients each week. use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.
a.

b.

c.

d.

Option: B. is the correct answer.

  B.  

It is given that:

A-mowing company is trying to grow its business. It had 26 clients when they started.

It had 26 clients when they started its business and wants to increase by 3 new clients each week.

i.e. if x represents the number of week, then the function which represents the number of clients is:

( Also, the range of the function is the set of all the values which are attained by a function in it's domain)

We are asked to find the range of the function for the first four weeks of data.

i.e. when x=0,1,2 and 3

i.e. x=0 is the initial week i.e. the first week when it was started.

x=1 is the second week after the start and so on.

Hence, we have:

the range as:  

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80