Computing exponential growth word problem

The video tutorial explains exponential models using a fly growth problem. It covers compound and continuous interest formulas, sets up equations to model fly population growth, and solves them using substitution. The tutorial calculates the growth rate and initial fly count, concluding with the number of flies after five days.

What type of model is used to predict the fly population growth?

• Linear model

• Quadratic model

• Exponential model

• Logarithmic model

Which formula is used for continuous interest in exponential models?

• A = P * e^(n/t)

• A = P(1 + R)^t

• A = P * e^(rt)

• A = P(1 + R/n)^(nt)

What method is suggested for solving the system of equations in the fly population problem?

• Matrix method

• Elimination method

• Substitution method

• Graphical method

What is the next step after setting up the equations for the fly population problem?

• Check the solution by plugging back

• Solve for one variable using substitution

• Use elimination method

• Graph the equations

How do you solve for the rate of growth using logarithms?

• Convert to exponential form

• Take the natural logarithm of both sides

• Use the quadratic formula

• Graph the logarithmic function

What is the property of logarithms used to simplify E raised to the Ln of a number?

• E raised to the Ln of a number equals infinity

• E raised to the Ln of a number equals one

• E raised to the Ln of a number equals zero

• E raised to the Ln of a number equals the number

What is the initial amount of flies calculated in the problem?

• 300 flies

• 33 flies

• 200 flies

• 100 flies

What is the predicted fly population after five days?

• 600 flies

• 514 flies

• 400 flies

• 300 flies

Which constant is used in the exponential growth formula for the fly population?

• Golden ratio

• Euler's number (e)

• Pi

• Planck's constant

What is the significance of the rate calculated as 1/2 Ln of three?

• It is the time taken for population to double

• It represents the initial population

• It is the growth rate of the fly population

• It is the final population after five days