Algebra-2

The function that represents an increasing exponential function with a y-intercept of 50 is y = 50(1.4)^x. The base 1.4 is greater than 1, indicating exponential growth. When x is zero, the equation simplifies to y = 50(1.4)⁰ = 50(1) = 50, which matches the given y-intercept. As x increases, the output values will grow exponentially.

Option A. y = 50(0.05)^x

This equation represents exponential decay rather than exponential growth. The base 0.05 is between 0 and 1, which causes the output values to decrease as x increases. Therefore, this option does not represent an increasing exponential function.

Option B. y = ...