Are you sure those are the options to that description?
I did the test and the options were:
A) f(x) = 4x + 14; 0 ≤ y ≤ 4
B) f(x) = 4x + 18; 0 ≤ y ≤ 4
C) f(x) = 4x + 14; 18 ≤ y ≤ 30
D) f(x) = 4x + 18; 18 ≤ y ≤ 30
If those are the options, then the answer would be:
Answer:
D) f(x) = 4x + 18; 18 ≤ y ≤ 30
Step-by-step explanation:
It would be that because if they want to increase by 4 customers every week you would attached that to x and since they started out with 18 customers they add 18 to the total weeks.
Answer:
[tex]f(x)=4x+14;18\le y\le 30[/tex]
Step-by-step explanation:
Note: The given options are incorrect.
It is given that a company had 18 clients when they started its business and wants to increase by 4 new clients each week.
18, 22, 26, 30,...
First term of arithmetic sequence = 18
Common difference = 4
The explicit formula of an arithmetic sequence is
[tex]a_n=a+(n-1)d[/tex]
where, a is first term and d is common difference.
Substitute a=18 and d=4 in the above formula.
[tex]a_n=18+(n-1)4[/tex]
[tex]a_n=18+4n-4[/tex]
[tex]a_n=14+4n[/tex]
The function notation is
[tex]f(x)=4x+14[/tex]
The number of clients in first four weeks are
18, 22, 26, 30
Therefore, the required function is [tex]f(x)=4x+14[/tex] and the range of the function for the first four weeks of data [tex]18\le y\le 30[/tex].
