Final answer:
The equation that represents growth is A) y = 8 (1+.5), as it is the only option where the base of the exponent is greater than 1, resulting in an increase in the value of y as x increases.
Step-by-step explanation:
To choose the equation that represents a growth, we need to look at the equations provided and identify which one describes an increase in value. An equation represents growth when the base of the exponent (b in the form y = a(b)^x) is greater than 1, indicating that the quantity y increases as x increases.
- A) y = 8 (1+.5) - This equation can be simplified to y = 8 * 1.5, which indicates growth because 1.5 is greater than 1.
- B) y = 15 (1 - 2) - This equation simplifies to y = 15 * -1, which implies a decrease, not growth.
- C) y = 1/2 (.7) - Here, .7 is less than 1, so this represents decay, not growth.
- D) y = 16 (1/10) - 1/10 is less than 1, so this also represents decay.
The correct answer is A) y = 8 (1+.5), which is an equation that represents a growth.