Constructing Exponential Functions

The graph shows the number of game consoles sold in millions since 2009.

Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

The table represents some points on the graph of an exponential function.

Which function represents this relationship?

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

What is the equation of the function in the graph?

• y = 2^x - 3

• y = -3(2)^x

• y = -3(1/2)^x

• y = 3^x - 3

In a lab, 800 bacteria reproduce by splitting. Every hour, on the hour, each bacterium splits into two bacteria. Write an equation relating n, the number of bacteria, to t, the number of hours.

• n = 800(2)^t

• t = 800(1/2)ⁿ

• n = 800(1/2)^t

• n = 800(2)^t-1

What is the equation of the function in the table?

• y = 2x + 5

• y = 2x + 1

• y = 5(2)^x

• y = 2(5)^x

Jess opens a savings account that earns 4.1% annually. If her initial amount is $500, write an equation to determine the amount of money Jess will have after x years.

• y = 500(4.1)^x

• y = 500(1.41)^x

• y = 4.1x + 500

• y = 500(1.041)^x

The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?

• y = 30,010 (.05)^x

• y = 30,010 (1.05)^x

• y = 30,010 (.95)^x

• y = 30,010 (5)^x

Write the exponential equation that represents the given table.

Write the exponential equation that represents the given table.