DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 106)

Problem 1 :

For x > 0, the function f is defined as follows :

f(x) is obtained by halving each value of x.

Which of the following could describe this function?

A. Decreasing exponential

B. Decreasing linear

C. Increasing exponential

D. Increasing linear

Solution :

Problem 2 :

2x + 6y = 5

ax + by = 7

If the system of equations above has only one solution, which of the following could be the values of a and b?

A)  a = 1  and  b = 3

B)  a = 2  and  b = 6

C)  a = 3  and  b = 8

D)  a = 4  and  b = 12

Solution :

Problem 3 :

A smart phone company plans to produce and sell p smart phones. The company spends $265,000 for technical information and $150 for producing each phone. The company receives $400 on the sale of each phone. For what value of p is the revenue equal to the total cost?

A)  500

B)  840

C)  1060

D)  1200

Solution :

Problem 4 :

In the xy-plane above, line ℓ is perpendicular to line m. What is the value of k? 

A)  -1

B)  -2

C)  -3

D)  -4.5

Solution :

Problem 5 :

If 4a = 2b = c, what is the average (arithmetic mean) of a, b and c in terms of a?

Solution :

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