A lawn-mowing company is trying to grow its business. It had 30 clients when they started its business and wants to increase by 6 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.

f(x) = 6x + 30; 0 ≤ y ≤ 4

f(x) = 6x + 24; 0 ≤ y ≤ 4

f(x) = 6x + 24; 30 ≤ y ≤ 54

f(x) = 6x + 30; 30 ≤ y ≤ 54

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

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.