Exponential Growth of Speeding Tickets

The video tutorial explains the exponential growth model for predicting speeding tickets in P Town starting from 2012. It begins with the initial condition of 190 tickets and a 10% annual growth rate. The growth rate is converted to a decimal for use in recursive and explicit formulas. The recursive formula calculates the number of tickets based on the previous year, while the explicit formula predicts future tickets directly. The tutorial concludes with a prediction for 2030, rounding the result to 1,056 tickets.

In which year did P Town start issuing speeding tickets according to the exponential growth model?

• 2010

• 2013

• 2011

• 2012

What was the initial number of speeding tickets issued in P Town in 2012?

• 200

• 190

• 150

• 180

How is the growth rate of 10% expressed as a decimal in the model?

• 1.0

• 10.0

• 0.1

• 0.01

What is the growth factor used in the exponential growth model?

• 1.2

• 1.0

• 0.9

• 1.1

Which formula uses the growth factor to predict the number of speeding tickets?

• Recursive formula

• Linear formula

• Quadratic formula

• Logarithmic formula

What is the recursive formula for predicting the number of speeding tickets?

• P_sub_N = P_sub_0 + N

• P_sub_N = 1.1 * P_sub_N-1

• P_sub_N = P_sub_0 * N

• P_sub_N = 1.1 + P_sub_N-1

In the explicit formula, what is the base number of tickets used for calculations?

• 190

• 180

• 200

• 210

How many years after 2012 is the prediction for 2030 made?

• 19

• 18

• 17

• 16

Using the explicit formula, what is the predicted number of speeding tickets in 2030?

• 1,100

• 1,056

• 1,200

• 1,000

What is the process for rounding the predicted number of tickets?

• Round to the nearest ticket

• Round down to the nearest hundred

• Round to the nearest thousand

• Round up to the nearest ten