Exponential Growth and Decay EOC Review

Front

A 78 gram sample of Uranium loses half of its mass each year. How much is left after 6 years?

Back

1.22 grams

Front

A bacterial colony doubles in size every 6 hours. There are 90 bacteria present initially. Estimate the population size after 80 hours. What is the equation that models this problem?

Back

y= 90(2)^80/6

Front

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

Back

y=15,000(0.92)^x

Front

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

Back

300

Front

The population of a town is currently 9,000. The function P=9000(1.08)^t can be used to estimate P, the population of the town t years from now. Which statement is true? Options: Population is increasing at a constant rate, Population is increasing at a constant ratio., Population is decreasing at a constant ratio., Population is decreasing at a constant rate.

Back

Population is increasing at a constant ratio.

Front

Simplify the exponential expression: 10x^-2, 2x², 2x¹², 10x¹²

Back

2x²

Front

You have $10 in your bank account. It doubles every month. How much money will you have after 5 months?

Back

$320

Front

Which of the following graphs shows an exponential decay equation?

Back

Front

Exponential equation for bacteria decay starting with 80 mg, decaying at 1/4 per day.

Back

y = 80(1/4)^x

Front

Function with initial amount of $15 and 35% increase each year: y = 15(35)^x, y = 15(1.35)^x, y = 15(0.35)^x, y = 35(1.15)^x

Back

y = 15(1.35)^x