Joshua Coe 01. Joshua Coe Packet

Name:
Per:
Joshua Coe High School A1.2.B
Recognize the multiple uses of variables, determine all possible values of variables
that satisfy prescribed conditions, and evaluate algebraic expressions that involve
variables.
A1.7.A
Sketch the graph for an exponential function of the form y  ab where n is an
integer, describe the effects that changes in the parameters a and b have on the
graph, and answer questions that arise in situations modeled by exponential functions.
A1.8.B
Select and apply strategies to solve problems
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2 I have been studying the growth rates of different cities around the state of Washington. I have determined that the populations of these towns have grown exponentially for the past few years and am predicting that these growth rates will continue. KELSO A1.2.B/M1.6.C Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables. At the end of year 4, Kelso had a population of 11,925. At the end of year 5, had a population of 12,044. Determine the growth factor. Use the table to determine the population at the end of year 7 and at the end of year 2. Year Work shown Population 1 2 3 4 5 6 7 8 9 10 Write and use an exponential equation to represent this population growth. Use you equation to verify the populations at the end of year 7 and the end of year 2. 3 WALLA WALLA At the end of year 3, Walla Walla had a population of 31,731. At the end of year 4, had a population of 32,366. Determine the growth factor. Use the table to determine the population at the end of year 6 and at the end of year 1. Year Work shown Population 1 2 3 4 5 6 7 8 9 10 Write and use an exponential equation to represent this population growth. Use you equation to verify the populations at the end of year 6 and the end of year 1. 4 VANCOUVER At the end of year 7, Vancouver had a population of 161,791. At the end of year 8, had a population of 169,881. Determine the growth factor. Use the table to determine the population at the end of year 9 and at the end of year 3. Year Work shown Population 1 2 3 4 5 6 7 8 9 10 Write and use an exponential equation to represent this population growth. Use you equation to verify the populations at the end of year 9 and the end of year 3. 5 PASCO At the end of year 5, Pasco had a population of 59,781. At the end of year 6 had a population of 63,368. Determine the growth factor. Use the table to determine the population at the end of year 8 and at the end of year 4. Year Work shown Population 1 2 3 4 5 6 7 8 9 10 Write and use an exponential equation to represent this population growth. Use you equation to verify the populations at the end of year 8 and the end of year 4. 6 A1.7.A/M1.7.A Sketch the graph for an exponential function of the form y = abn where n is an integer, describe the effects that changes in the parameters a and b have on the graph, and answer questions that arise in situations modeled by exponential functions. 1) For the following exponential function, evaluate for the given value.  Y = 120 (1.02)x, when x = 3 and when x = 5 
Determine the value of x when y is greater or equal to 155. 2) For the following exponential function, evaluate for the given value.  Y = 75 (1.05) x, when x = 9 and when x = 11 
Determine the value of x when y is greater or equal to 180. 3) For the following exponential function, evaluate for the given value.  Y = 510 (1.15) x, when x = 7 and when x = 4 
Determine the value of x when y is greater or equal to 15,000. 4) For the following exponential function, evaluate for the given value.  Y = 200 (1.01) x, when x = 6 and when x = 9 
Determine the value of x when y is greater or equal to 240. 7

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