Modeling With Exponential Functions

Which answer choice best represents the sequence below:

4, 8, 16, 32, 62, 128, 256

• y = 2(4)^x

• y = 4(2)^x

• a_n = 4(2)^n-1

• a_n = 4+ (n-1)2

When a ball bounces, the heights of consecutive bounces form a geometric sequence. The height of the first bounce is 121 centimeters and the height of the third bounce is 64 centimeters. To the nearest centimeter, what is the height of the fifth bounce?

• 25

• 34

• 36

• 42

Which Table best represents a exponential relationship?

• 
• 
• 
• 

Perry invested in property that cost him $1500. Five years later it was worth $3000, and 10 years from his original purchase, it was worth $6000. Assuming the growth rate remains the same, which type of function could he create to find the value of his investment 30 years from his original purchase?

• exponential function

• geometric sequence

• quadratic function

• trigonometric function

Sodium iodide-131, used to treat certain medical conditions, has a half-life of 1.8 hours. The data table below shows the amount of sodium iodide-131, rounded to the nearest thousandth, as the dose fades over time.

What ,approximate amount of sodium iodide-131 will remain in the body after 18 hours?

• (1) 0.001

• (2) 0.136

• (3) 0.271

• 14) 0.543

Marilyn collects old dolls. She purchases a doll for $450. Research shows this doll's value will increase by 2.5% each year. Write an equation that determines the value, V, of the doll t years after purchase.

• V(t) = 450 (1 + 0.025)^t

• V(t) = 450 (1 - 0.025)^t

• V(t) = 450 (1 + 2.5)^t

• V(t) = 450 (1 - 2.5)^t

A student invests $500 for x years in a savings account that earns 4% interest per year. No further deposits or withdrawals are made during this time. Write an function f(x) to represent the amount of money earned after x years.

• f(x) = 500 (.60)^x

• f(x) = 500 (.96)^x

• f(x) = 500 (1.04)^x

• f(x) = 500 (1.4)^x

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function that will determine the value, V(t), of the car t years after purchase.

• V(t) = 25000(1 - 0.185)^t

• V(t) = 25000(1 + 0.185)^t

• V(t) = 25000(1 - 18.5)^t

• V(t) = 25000(1 + 18.5)^t