Advanced Math practice question

Answer: A. y = 7(0.5)ˣ

At x = 0 the function equals 7 (the coefficient), and a base of 0.5 — between 0 and 1 — makes it shrink as x grows: exponential decay.

Why the other answers are wrong

B. y = 7(2)ˣ

A base of 2 makes the function GROW.

C. y = 0.5(7)ˣ

The y-intercept here is 0.5, and a base of 7 gives growth.

D. y = 7 − 0.5x

This is a straight line, not an exponential function, even though it decreases.

More Advanced Math questions

• Easy–Medium
  If f(x) = 2x² − 3, what is f(4)?
• Easy–Medium
  Which expression is equivalent to (2x³)(3x⁴)?
• Easy–Medium
  What are the solutions to x² − 16 = 0?
• Easy–Medium
  Which expression is equivalent to (x + 5)²?
• Easy–Medium
  For x ≠ 0, which expression is equivalent to (x² + 3x) / x?
• Easy–Medium
  What are the solutions to the equation 2(x − 3)² − 32 = 0 ?