DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 12)

Problem 1 :

For the function f, f(0) = 86, and for each increase in x by 1, the value of f (x) decreases by 80%. What is the value of f (2)?

Solution :

Problem 2 :

In the xy-plane, a line with equation 2y = 4.5 intersects a parabola at exactly one point. If the parabola has equation y = -4x² + bx, where b is a positive constant, what is the value of b ?

Solution :

Problem 3 :

The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown.

At x = 32, which of the following is closest to the y-value predicted by the line of best fit?

A)  0.4

B)  1.5

C)  2.4

D)  3.3

Solution :

Problem 4 :

In a group, 40% of the items are red. Of all the red items in the group, 30% also have stripes. What percentage of the items in the group are red and have stripes?

A)  10%

B)  12%

C)  70%

D)  75%

Solution :

Problem 5 :

The density of a certain type of wood is 353 kilograms per cubic meter. A sample of this type of wood is in the shape of a cube and has a mass of 345 kilograms. To the nearest hundredth of a meter, what is the length of one edge of this sample?

A)  0.98

B)  0.99

C)  1.01

D)  1.02

Solution :

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