EOC Review #1

Front

What is the formula for exponential decay?

Back

y = a(1 - r)^x, where 'a' is the initial amount, 'r' is the decay rate, and 'x' is time.

Front

What is the formula for exponential growth?

Back

y = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is time.

Front

How do you calculate the value of an asset after depreciation?

Back

Value = Initial Value * (1 - Depreciation Rate)^Years.

Front

What does it mean for a function to be exponential?

Back

An exponential function is one where the variable is in the exponent, leading to rapid increases or decreases.

Front

What is the significance of the base in an exponential function?

Back

The base determines the rate of growth (if >1) or decay (if <1) of the function.

Front

If a car is worth $15,000 and depreciates at 8% per year, what is its value after 1 year?

Back

Value after 1 year = 15,000 * (0.92)^1 = $13,800.

Front

What is the maximum number of hours JoAnn can work if she tutors and babysits?

Back

JoAnn can work a maximum of 15 hours per week.

Front

How do you set up an inequality for JoAnn's earnings?

Back

3b + 6t > 66, where 'b' is babysitting hours and 't' is tutoring hours.

Front

What is the initial amount in a savings account if it grows to $400 at 3% interest?

Back

The initial amount is $400, and the growth function is f(x) = 400(1.03)^x.

Front

What does it mean for a model to be classified as exponential decay?

Back

It means the quantity decreases over time, typically represented by a base less than 1.