Answer:
So, f(x) = 6 x + 30; 0 ≤ y ≤ 4
Step-by-step explanation:
Given: A lawn-mowing company had 30 clients when they started its business and wants to increase by 6 new clients each week.
To find: arithmetic sequence to write a function to represent the real-world situation and the range of the function for the first four weeks of data.
Solution:
A sequence is a list of numbers in a specific order following some pattern.
A sequence is said to be arithmetic if difference between the terms is same.
For the first week, number of clients = 30
For the second week, number of clients = 30 + 6(1)
For the third week, number of clients = 30 + 6(2)
For the third week, number of clients = 30 + 6(3)
For the fourth week, number of clients = 30 + 6(4)
So, f(x) = 6 x + 30; 0 ≤ y ≤ 4
