Exponential functions

High School Math 1 · Unit 10 · exponential-growth-decay

exponential-growth-decay

Name ______________________________Date ______________

1.
Let $f(x) = 800(0.5)^{x}$ . Find $f(3)$ .
Answer: ______________
2.
A car bought for $24,000 loses $15\%$ of its value each year. What is its value after $2$ years, in dollars?
Answer: ______________
3.
A table gives $x = 0, 1, 2, 3$ and $y = 3, 6, 12, 24$ . Which function matches the table?
1. (A)
  $y = 2 \cdot 3^{x}$
2. (B)
  $y = 3x + 3$
3. (C)
  $y = 3 \cdot 2^{x}$
4. (D)
  $y = 6^{x}$
4.
Which situation is modelled by an exponential function?
1. (A)
  A bacteria count doubles every hour
2. (B)
  A plant grows $2$ cm each week
3. (C)
  A taxi charges $2 per mile
4. (D)
  A savings jar gains $2 every month
5.
$2,000 is deposited in an account paying $6\%$ annual interest, compounded semi-annually. What is the balance after $1$ year, in dollars, to the nearest cent?
Answer: ______________