EOC Exponential Practice

Consider the function for cell duplication. The cells duplicate every minute.

f(x) = 75(2)^x

What do the values 75 and 2 represent in relation to the duplication of these cells?

• The 75 is the initial number of cells, and the 2 indicates the number of cells doubles every minute.

• The 75 is the initial number of cells, and the 2 indicates the number of cells increases by 2 every minute.

• 75 is the number of cells at 1 minute, and 2 indicates that the number of cells doubles every minute.

• 75 is the number of cells at 1 minute, and 2 indicates the number of cells increases by 2 every minute.

Candice has a savings account. The total amount of money, in dollars, in the account in relation to the time, in years, since Candice made her first deposit can be described by the equation

A = 3,000(1 + 0.4)^t .

What is the interest rate of the equation?

• 3,000

• 1

• 1 + 0.4

• 0.4

The table shows an exponential relationship between the number of employess working for a business based on the time, in years, since the founding of the business.

Which expression determines the number of employees working for the business x years since the founding of the business.

• 512(1.25)^x

• 640(1.25)^x

• 512(0.25)^x

• 640(0.25)^x

A function is given in the table shown.

Which equation represents the function in the table?

• y = 24(1.5)^x

• y = 16(1.5)^x

• y = 12x + 24

• y = 24x + 12

The graph of the exponential function shown passes through (-1, -1.5) and (1, 6).

Which function represents the graph?

• y = 5(2)^x - 4

• y = 5(1/2)^x - 4

• y = 5(2)^x + 1

• y = 5(1/2)^x + 1

The graph of the exponential function f(x) = 4(0.5)^x + 2 is shown.

Which function has the same end behavior for large, positive values of x?

• g(x) = 4(1.1)^x + 3

• g(x) = 0.5(1.1)^x + 2

• g(x) = 4(0.8)^x + 3

• g(x) = 0.5(0.8)^x + 2

Which function's graph has a y-intercept of 1?

• h(x) = 5(2)^x

• h(x) = 5(0.5)^x + 0.5

• h(x) = (0.5)^x + 1

• h(x) = 0.5(2)^x + 0.5

Marcus buys $1,000 worth of stock in a company. He expects the value of the stock to increase by 5% each year.

Which equation could Marcus use to predict the stock's value x years after he purchases the stock?

• f(x) = 1,000(5)^x

• f(x) = 1,000(x)⁵

• f(x) = 1,000(1.05)^x

• f(x) = 1,000(x)^1.05

The first five terms of a pattern are shown.

9, 27, 81, 243, 729

The equation S_n = a(b)ⁿ can be usedto caluclate the value, S_n , of any term, n, in the pattern.

What are the values of a and b in the equation?

• a = 1, b = 3

• a = 3, b = 3

• a = 3, b = 9

• a = 9, b = 9

The cost to make a container of each type of jam increased, including supply costs. The costs, in dollars, to make a container of the strawberry jam and grape jam are represented by the functions shown, where x represents the number of years since the company opened. The graph is of raspberry jam.

Which stement is true about the cost to make a container of the strawberry jam?

• The cost to make a container of the strawberry jam was $3.10 in the year the company opened, and the cost increased $0.05 each year.

• The cost to make a container of the strawberry jam was $0.05 in the year the company opened, and the cost increased $3.10 each year.

• The cost to make a container of the strawberry jam was $3.10 in the year the company opened , and the cost increased by 5 percent each year.

• The cost to make a container of the strawberry jam was $0.05 in the year the company opened, and the cost increased 3.1 percent each year.