DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 58)

Problem 1 :

The functions f and g are defined by the given equations, where 1 ≤ x ≤ 5. Which of the following equations displays, as a constant or coefficient, the minimum value of the function it defines, where 1 ≤ x ≤ 5?

I.  f(x) = 2(0.8)(4)^{x – 4}

II.  f(x) = 64(0.3125)(0.5)^{x + 1}

A)  I only

B)  II only

C)  I and II

D)  Neither I nor II

Solution :

Problem 2 :

The total distance d, in meters, traveled by an object moving in a straight line can be modeled by a quadratic function that is defined in terms of t, where t is the time in seconds. At a time of 10.0 seconds, the total distance traveled by the object is 50.0 meters, and at a time of 20.0 seconds, the total distance traveled by the object is 200.0 meters. If the object was at a distance of 0 meters when t = 0, then what is the total distance traveled, in meters, by the object after 30.0 seconds?

Solution :

Problem 3 :

Solve for b :

Solution :

Problem 4 :

A pyramid has 6 edges. Each edge is 40 cm in length. If the surface area of the pyramid is k√3, what is the value of k?

Solution :

Problem 5 :

The quadratic function a(x + 4.5)² - d can be written as

(x - 9.5)(x + c)

If a is equal to 1, what is the value of d?

Solution :

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