Module 2 EOC Practice

For f(x) = -2x + 7, find the value of f(-1) + f(4).

• 9

• 8

• -1

• 1

The depth of the water in a tank after t minutes is modeled by f(t) = 3 + 2.5t, measured in inches. Find and interpret f(5).

• The depth of the water after 5 minutes is 15.5 inches.

• The water reaches a depth of 5 inches after 15.5 minutes.

• The depth of the water after 5 minutes is 27.5 inches.

• The water reaches a depth of 5 inches after 27.5 minutes.

Determine whether each situation represents a discrete or continuous function. Fill in the blanks using the available answer choices. A. The function y = 30.48x converts length from x feet to y centimeters. (Blank 1) B. The function y = 3x + 2 represents the amount of water y in gallons in a tank after x minutes. (Blank 2) C. The function y = 50 – 3.5x represents the amount y of money in dollars that you have left after buying x loaves of bread. (Blank 3) D. The function y = 10x represents the number of marbles y in x bags. (Blank 4)

• Continuous

• C

• Continuous

• B

• Discrete

• D

• Discrete

• A

An equation in the form of Ax + By = C, where A ≥ 0, and A and B are not both zero, and A, B, and C are integers with a greatest common factor of 1 can represent either a linear or nonlinear function.

• True

• False

Determine whether each function is continuous, discrete, or neither.

• g(x)

• Continuous

• j(x)

• Discrete

• h(x)

• Neither

• Nonlinear

• B

• Linear

• D

• Linear

• A

• Nonlinear

• C

FRUIT Ronald buys fresh fruit from a fruit stand. Apples cost $5 per pound and peaches cost $6 per pound. He has $60 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of peaches, y, Ronald could purchase. The __​ (a)   __-intercept shows that if Ronald buys only apples, he can buy ___​ (b)   __ pounds. The __​ (c)   _-intercept shows that if Ronald buys only peaches, he can buy _​ (d)   _ pounds.​

• x
• 12
• y
• 10
• 1.2
• 7.5

A root of the equation 3x – 8 = 13 is ________.

• 3

• 7

• 21