Regents Review

A ball was launched into the air, and its height above the ground was recorded each second, as shown in the table below. Based on these data, which statement is a valid conclusion?

• The ball lands on the ground at 4 seconds.

• The ball reaches a maximum height of 11 feet.

• The ball was launched from a height of 0 feet.

• The ball reaches its maximum height at 2 seconds.

A tour bus can seat, at most, 48 passengers. An adult ticket costs $18 and a child ticket costs $12. The bus company must collect at least $650 to make a profit. If a represents the number of adult tickets sold and c represents the number of child tickets sold, which system of inequalities models this situation if they make a profit?

Which equation is always true?

• x² · x³ = x⁵

• 3ᵡ · 3² = 9²ˣ

• −x² = x²

• 7ᵃ · 7ᵇ = 7ᵃᵇ

Which sum is irrational?

• 15

• 14

• 6

• 4

On an island, a rare breed of rabbit doubled its population each month for two years. Which type of function best models the increase in population at the end of two years?

• linear growth

• linear decay

• exponential growth

• exponential decay

• 1

• 2

• 3

• 4

• 0, −5, and 2

• 5 and 2, only

• 0, 5, and −2

• 5 and −2, only

What is the y-intercept of the line that passes through the points (−1,5) and (2,−1)?

• −1

• −2

• 3

• 5