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2.5 Exponential function context and data modeling

Interactive practice questions

The local rodent population, numbering approximately $840$840, is decreasing at a rate of $4%$4% per year.

a

Write an expression for $y$y to represent the population after $m$m years.

b

Find the size of the population after $8$8 years, giving your answer to the nearest whole number.

Medium
2min

Mohamad has just started a new job, where his starting salary is $\$50000$$50000 per year and is expected to increase by $3.2%$3.2% each year. Elizabeth has also just started a new job, which has a starting salary of $\$49000$$49000 per year and is expected to increase at a rate of $6.1%$6.1% each year.

Medium
5min

The table of values below represents an exponential function.

Medium
1min

The air pressure at heights above sea level can be modeled by an exponential function. Approximate values of air pressure at various heights above sea level are shown in the table below.

Medium
2min
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Outcomes

2.5.A

Construct a model for situations involving proportional output values over equal-length input-value intervals.

2.5.B

Apply exponential models to answer questions about a data set or contextual scenario.

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