Math Mod Unit 9 Lesson 1

In the equation y=2,507(1+0.12)x , what is the growth factor?

1.12

Use the exponential model to predict the population of Denton, TX, in 2010. (To find x, subtract 1880 from the year you are solving for.)

y=(1,580.64)(1.04)x = 258,921

Use the linear model to predict the population of Denton, TX, in 2010. (To find x, subtract 1880 from the year you are solving for.)

y=169.61x+969.01 = 23,018

In the equation y=2,507(1+0.12)x , what is the initial amount?

2,507

In the equation y=2,507(1+0.12)x , what is the growth rate?

0.12

A logistic model for the same data that was used in question 7 and 8 predicts the population of Denton to be 143,075 in 2010. The actual population of Denton in 2010 was 113,383. What could be done to make these models better predictors of the future population of Denton?

More data values could be used

mathematical model

a description of a real-world system using mathematical language and concepts

Use the following data below to find an exponential model for the population growth of Denton, TX. (To find the values to put in "List 1," subtract 1880 from each year.)

a. 1580.64 b. 1.04 y = abx = (1,580.64)(1.04)^x

Use the following data to find a linear model for the population growth of Denton, TX. (To find the values to put in "List 1," subtract 1880 from each year.)

a. 169.61 b. 969.01 y= ax+b = 169.61x + 969.01

Match the graph with the correct description. (Curve)

exponential model

Match the graph with the correct description. (Straight Line Across)

linear model

Match the graph with the correct description. (S Curve)

logistic model