Candice uses the function f(t)=t+100−−−−−−√ to model the number of students in her after-school program. The variable t represents days and f(t) represents the number of students. How many days does it take for there to be 15 students in her program? A. 225 days B. 125 days C. 325 days D. 115 days

Respuesta :

Answer:

Option B is correct.

125 days does it take for there to be 15 students in her program.

Step-by-step explanation:

As per the statement:

Candice uses the function:

[tex]f(t) = \sqrt{t+100}[/tex]             [1]

where variable t represents the days and f(t) represents the number of studemts.

We have to find how many days does it take for there to be 15 students in her program.

⇒f(t) = 15 students

then substitute in [1] we get;

[tex]15 = \sqrt{t+100}[/tex]

Squaring both sides we have;

[tex]225 = t+100[/tex]

Subtract 100 from both sides we get;

[tex]225-100= t+100-100[/tex]

Simplify:

[tex]125 = t[/tex]

Therefore, 125 days does it take for there to be 15 students in her program.