NAPT - Navy Advanced Programs Algebraic Equations and Functions Questions and Answers

Question 1

A submarine's depth, d, in meters, is a function of time, t, in hours, modeled by the equation d(t) = -50t^2 + 200t. What is the maximum depth the submarine reaches?

Accepted Answer

200 meters

Answer

150 meters

Answer

250 meters

Answer

300 meters

Question 2

If f(x) = 3x + 7 and g(x) = x^2 - 2, what is the value of f(g(3))?

Accepted Answer

28

Answer

16

Answer

34

Answer

22

Question 3

Which of the following equations represents a line that is perpendicular to the line with the equation y = -1/4x + 5?

Accepted Answer

y = 4x - 6

Answer

y = -1/4x - 2

Answer

y = 1/4x + 3

Answer

y = -4x + 1

Question 4

A sailor is tracking the fuel consumption of a patrol boat. The boat starts with 1,500 gallons of fuel. It consumes fuel at a rate of 75 gallons per hour. Which function F(h) correctly models the amount of fuel remaining after h hours?

Accepted Answer

F(h) = 1500 - 75h

Answer

F(h) = 1500 + 75h

Answer

F(h) = 1500 / 75h

Answer

F(h) = 75h - 1500

Question 5

Solve the following inequality for x: |2x - 5| > 9

Accepted Answer

x < -2 or x > 7

Answer

-2 < x < 7

Answer

x > 7

Answer

x < -2

Question 6

Simplify the expression (3x^3y^2) * (4x^-1y^4).

Accepted Answer

12x^2y^6

Answer

7x^2y^6

Answer

12x^4y^6

Answer

7x^4y^8

A submarine's depth, d, in meters, is a function of time, t, in hours, modeled by the equation d(t) = -50t^2 + 200t.What is the maximum depth the submarine reaches?

A submarine's depth, d, in meters, is a function of time, t, in hours, modeled by the equation d(t) = -50t^2 + 200t.
What is the maximum depth the submarine reaches?