DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 19)

Problem 1 :

If |4x − 4| = 112, what is the positive value of x − 1 ?

Solution :

Problem 2 :

What is the diameter of the circle in the xy-plane with equation (x - 5)² + (y - 3)² = 16?

A)  4

B)   8

C)  16

D)  32

Solution :

Problem 3 :

For the exponential function f, the value of f(1) is k, where k is a constant. Which of the following equivalent forms of the function f shows the value of k as the coefficient or the base?

A)  f(x) = 50(1.6)^{x + 1}

B)  f(x) = 80(1.6)^x

C)  f(x) = 128(1.6)^{x - 1}

D)  f(x) = 204.8(1.6)^{x - 2}

Solution :

Problem 4 :

A cube has an edge length of 68 inches. A solid sphere with a radius of 34 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?

A)  149,796

B)  164,500

C)  190,955

D)  310,800

Solution :

Problem 5 :

A model estimates that at the end of each year from 2015 to 2020, the number of squirrels in a population was 150% more than the number of squirrels in the population at the end of the previous year. The model estimates that at the end of 2016, there were 180 squirrels in the population. Which of the following equations represents this model, where n is the estimated number of squirrels in the population t years after the end of 2015 and t ≤ 5?

A)  n = 72(1.5)^t

B)  n = 72(2.5)^t

C)  n = 180(1.5)^t

D)  n = 180(2.5)^t

Solution :

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