Algebraic Reasoning Unit 5 Review

A student used f(x) = 5.00(1.012)^x to show how the balance in a savings account will increase over time. What does the 5.00 represent?

• The interest the savings account earned for the first year

• The annual interest rate of the savings account

• The number of years the savings account has earned interest

• The starting balance of the savings account

Tags

CCSS.HSF.LE.B.5

There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?

• f(x) = 1,024(1.50)^x

• f(x) = 1,024(0.50)^x

• f(x) = 1,024(1.05)^x

• f(x) = 1,024(0.05)^x

Tags

CCSS.HSF.LE.A.2

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells?

• n = 4(1/2)^h

• n = 4(2)^h

• n = 4 + (2)^h

• n = 4 + (1/2)^h

Tags

CCSS.HSF.LE.A.2

The amount of fertilizer in a landscaping company's warehouse decreases at a rate of 3% per week. The amount of fertilizer in the warehouse was originally 78,000 cubic yards. Which function models the amount of fertilizer in cubic yards left after w weeks?

• f(w) = 0.97(78,000)^w

• f(w) = 1.03(78,000)^w

• f(w) = 78,000(0.97)^w

• f(w) = 78,000(1.03)^w

Tags

CCSS.HSF.LE.A.2

Based on the table, which function represents the same relationship?

• q(x) = (0.25)^x

• q(x) = 256(0.25)^x

• q(x) = 0.0625(4)^x

• q(x) = 0.5(4)^x

Tags

CCSS.HSF.LE.A.2

Which statement about the graph of y = 8(0.25)^x is true?

• The coordinates of the x-intercept are (0.25, 0).

• The coordinates of the y-intercept are (0, 8).

• The equation of the asymptote is x = 0.

• The graph includes the point (2, 1).

Tags

CCSS.HSF-IF.C.7E

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Tags

CCSS.HSF-IF.C.7E

The graph of an exponential function is shown on the grid. Which dashed line is an asymptote for the graph?

• Line q

• Line r

• Line s

• Line t

Tags

CCSS.HSF-IF.C.7E

• The graph has a vertical asymptote.

• The graph decreases from left to right.

Tags

CCSS.HSF-IF.C.7E

Write an exponential function for the graph.

• y = 0.5(2)^x

• y = 2(0.5)^x

• y = (2 - 0.5)^x

• y = 2(5)^x

Tags

CCSS.HSF.LE.A.2