ALGEBRA 1-REPORTING CATEGORY 5

An insect population after x months can be modeled by the function g(x) = 18(1.3)^x. Which statement is the best interpretation of one of the values in this function?

• The insect population increased by 13 insects each month.

• The insect population decreased by 13 insects each month.

• The insect population increased at a rate of 30% each month.

• The insect population decreased at a rate of 30% each month.

An exponential function is graphed on the grid. Which function is best represented by the graph?

• p(x) = (0.25)^x

• p(x) = 2(0.5)^x

• p(x) = (1.25)^x

• p(x) = (25)^x

The table shows the value in dollars of a motorcycle at the end of x years. Use the table of values and apply it in the calculator under List and spreadsheet to determine an exponential equation. Graph the answer choices and compare the given table of values. Which exponential function models this situation?

• v(x) = 9,000(1.1)^x

• v(x) = 9,000(0.9)^x

• v(x) = 8,100(1.1)^x

• v(x) = 8,100(0.9)^x

What is the value of the y-intercept of the graph of h(x) = 12.3(4.9)^x?

• 12.3

• 4.9

• 49

• X

The initial value of a home is $200,000. The value of the home will increase at a rate of 6% each year. Which graph best models this situation?

• F

• G

• H

• J

The table shows the net revenue in millions of dollars of a company every three months for two years. An exponential function can be used to model the data. Which function best models the data?

• r(x) = 223.06(1.09)^x

• r(x) = 1.09(223.06)^x

• r(x) = 2,232.91(0.92)^x

• r(x) = 0.92(2,232.91)^x

Which inequality best represents the domain of the part shown?

• x > 1

• y > 1

• x > -2

• y > -2

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?

• g(x) = 0.6(25.5)^x

• g(x) = 25.5(0.6)^x

• g(x) = 6.12(25.5)^x

• g(x) = 25.5(6.12)^x

What is the value of the y-intercept of the graph of g(x) = 73(4/5)^x? Record your answer and fill in the bubbles on your answer document.

• 4/5

• 0.8

• 73

• X

Which function best models the data?

• n(x) = 25,956.80(1.08)^x

• n(x) = 46,797.94(0.93)^x

• n(x) = 1.08(25,956.80)^x

• n(x) = 0.93(46,797.94)^x