Advanced Math SAT section

The given function f models the number of advertisements a company sent to its clients each year, where x represents the number of years since 1997, and 0 ≤ x ≤ 5. If y = f(x) is graphed in the xy-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?

• The minimum estimated number of advertisements the company sent to its clients during the 5 years was 1,708.

• The minimum estimated number of advertisements the company sent to its clients during the 5 years was 9,000.

• The estimated number of advertisements the company sent to its clients in 1997 was 1,708.

• The estimated number of advertisements the company sent to its clients in 1997 was 9,000.

The function P gives the estimated number of marine mammals in a certain area, where t is the number of years since a study began. What is the best interpretation of P(0) = 1,800 in this context?

• The estimated number of marine mammals in the area was 102 when the study began.

• The estimated number of marine mammals in the area was 1,800 when the study began.

• The estimated number of marine mammals in the area increased by 102 each year during the study.

• The estimated number of marine mammals in the area increased by 1,800 each year during the study.

• The value of the bank account is estimated to be approximately 5 dollars greater in 1962 than in 1957.

• The value of the bank account is estimated to be approximately 243 dollars in 1962.

• The value, in dollars, of the bank account is estimated to be approximately 5 times greater in 1962 than in 1957.

• The value of the bank account is estimated to increase by approximately 243 dollars every 5 years between 1957 and 1972.

• 40

• 50

• 80

• 320

The function f(x) = (x + 6)(x + 5)(x - 4) is given. Which table of values represents y = f(x) - 3?

The graphs of the given equations intersect at the point (x, y) in the xy-plane. What is the value of y?

• 16

• 40

• 81

• 130

The given equation relates the numbers p and n, where n is not equal to 0 and p > 20. Which equation correctly expresses n in terms of p?

• 2

• 5x

• 38x

The function g is defined by g(x) = |x + 18|. What is the value of g(4)?

• -18

• -4

• 14

• 22

The functions g and h are defined by the equations shown. Which expression is equivalent to g(x) · h(x)? g(x) = (3/5)x + (7/6) h(x) = 6x - 5