DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 61)

Problem 1 :

A model predicts that the value of a collector's videocasette collection was $16,200 in 2011. The model also predicts that each year for the next 10 years, the collection's value, v, will increase by 6% of the previous year's value. Which equation best represents this model, where y is the number of years after 2011 when y ≤ 10?

A)  v = 0.06(16,200)^y

B)  v = 0.94(16,200)^y

C)  v = 1.06(16,200)^y

D)  v = 16,200(1.06)^y

Solution :

Problem 2 :

f(x) = 4x² + 5x - 21

g(x) = f(x + 2)

Which of the following is an x-intercept of g(x) when it is plotted in the xy-plane so that y = g(x)?

A)  -21

B)  -5

C)  -3

D)  5

Solution :

Problem 3 :

y = 2x² - 18x - 40

y = 2x - c

In the given system of equations, c is a constant. The graphs of the equations intersect at only one point, (a, b), in the xy-plane. What is the value of a?

Solution :

Problem 4 :

On a partcular weekend, 5 times as many cars traveled southbound through a tollbooth than traveled northbound through the tollbooth. 5600 more cars traveled through the tollbooth heading southbound than traveled northbound. How many cars traveled through the tollbooth in both directions combined?

A)  1,400

B)  5,600

C)  7,000

D)  8,400

Solution :

Problem 5 :

Solution :

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