Solve the problem.
-The function $f ( x ) = 6.75 \sqrt { x } + 12$ models the amount, $f ( x )$, in billions of dollars of new student loans $x$ years after 1993. According to the model, in what year is the amount loaned expected to reach $\$ 45.75$ billion?
A) 2018
B) 2021
C) 2023
D) 2022

Question

Quizplus · Accepted Answer

To find the year when the amount loaned is expected to reach $45.75 billion, set the function equal to 45.75 and solve for $x$:$$45.75 = 6.75\sqrt{x} + 12$$Subtract 12 from both sides:$$33.75 = 6.75\sqrt{x}$$Divide both sides by 6.75:$$5 = \sqrt{x}$$Square both sides to solve for $x$:$$x = 25$$Since $x$ represents the number of years after 1993, add 25 to 1993 to find the year:$$1993 + 25 = 2018$$

Solve the Problem f(x)=6.75x+12f ( x ) = 6.75 \sqrt { x } + 12f(x)=6.75x​+12

Solve the Problem $f ( x ) = 6.75 \sqrt { x } + 12$