Math and Logic Quiz

A ball was launched into the air, and its height above the ground was recorded each second. Based on the 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?

• $a + c < 48$ and $18a + 12c > 650$

• $a + c \leq 48$ and $18a + 12c \geq 650$

• $a + c < 48$ and $18a + 12c < 650$

• $a + c \leq 48$ and $18a + 12c \leq 650$

What is the degree of the polynomial $2x - x^2 + 4x^3$?

• 1

• 2

• 3

• 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

When babysitting, Nicole charges an hourly rate and an additional charge for gas. She uses the function $C(h) = 6h + 5$ to determine how much to charge for babysitting. The constant term of this function represents:

• the additional charge for gas

• the hourly rate Nicole charges

• the number of hours Nicole babysits

• the total Nicole earns from babysitting