Question

A lawn-mowing company is trying to grow its business. It had 18 clients when they started its business and wants to increase by 4 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) = 4x + 14; 0 ≤ y ≤ 4
f(x) = 4x + 18; 0 ≤ y ≤ 4
f(x) = 4x + 18; 18 ≤ y ≤ 30
f(x) = 4x + 14; 18 ≤ y ≤ 30

Answer 1

So already you can mark A,D out of the question because there is 18 new clients, not 14.

Answer 2

And you are trying to gain each clients through the week, so it would be f(x) = 4x + 18; 18 ≤ y ≤ 30

Answer 3

f(x) =4x+18; 18≤y≤30 is correct

Answer 4

First week, number of clients = 30
Second week, number of clients = 30 + 6(1)
Third week, number of clients = 30 + 6(2)
Third week, number of clients = 30 + 6(3)
Fourth week, number of clients = 30 + 6(4)
Therefore\[f(x)= 6 x + 30; 0 ≤ y ≤ 4\]

Answer 5

Ok thanks guys!

Answer 6

No problem!