# DIGITAL SAT MATH PROBLEMS AND SOLUTIONS(Part - 34)

Problem 1 :

Human blood can be classified into four common blood types—A, B, AB, and O. It is also characterized by the presence (+) or absence (–) of the rhesus factor. The table above shows the distribution of blood type and rhesus factor for a group of people. If one of these people who is rhesus negative (–) is chosen at random, the probability that the person has blood type B is 1/9. What is the value of x?

Solution :

Problem 2 :

One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees. If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference,in inches,of their diameters 10 years from now?(1 foot = 12 inches)

A)  1.0

B)  1.2

C)  1.3

D)  1.4

Solution :

Problem 3 :

The scatterplot below shows the amount of electric energy generated, in millions of megawatt-hours, by nuclear sources over a 10-year period.

Of the following equations, which best models the data in the scatterplot?

A)  y = 1.674x2 + 19.76x – 745.73

B)  y = -1.674x2 - 19.76x – 745.73

C)  y = 1.674x2 + 19.76x + 745.73

D)  y = -1.674x2 + 19.76x + 745.73

Solution :

Problem 4 :

y < 6x + 2

For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?

Solution :

Problem 5 :

A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set. Among the remaining 150 participants, p people chose the first picture in the set. If more than 20% of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of p?

A)  p > 0.20(300−36), where p ≤ 150

B)  p > 0.20(300+36), where p ≤ 150

C)  p – 36 > 0.20(300), where p ≤ 150

D)  p + 36 > 0.20(300), where p ≤ 150

Solution :

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