Exponential Test

• decreases
• 10%
• 288
• 0.09
• increases
• 320
• 90%
• 110%

A shipping company started with 40 employees. The number of employees at the shipping company increases at a rate of 7.5% each year. Which function can be used to model the number of employees, f(x), at the shipping company after x years?

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New houses are being built in a neighborhood. The table shows the exponential change in the number of houses in the neighborhood over the last 6 years. Which exponential function best models the data?

A sample of a substance with an initial mass of 963 grams is decaying at a rate of 27% per hour. Create a function that can be used to fine y, the mass of the substance in grams remaining after x hours.

( use y= for the equation)

Mathematical Equivalence

ON

Mathematical Equivalence

ON

A company currently has 500 employees. The number of employees is expected to grow at a rate of 2% each year. Write an exponential function to model the number of employees in the company, y, after x years.

Mathematical Equivalence

ON

• The y-intercept of the function is (0, 35).

• The x-intercept of the function is (1.4, 0).

• The graph of the function is decreasing for all values of x.

• The asymptote of the function is y = 0.4.