Question

Find a formula for the exponential equation passing through the points: (0, 20) and (1, 5)

Answer 1

The formula for the exponential equation passing through the points (0, 20) and (1, 5) is y = 20 * 5^x.

Step-by-step explanation:

To find a formula for the exponential equation passing through the points (0, 20) and (1, 5), we can use the general form of an exponential equation: y = ab^x, where (x, y) are the points, a is the initial value, and b is the growth/decay factor.

For the given points:

At (0, 20): 20 = ab^0 = a

At (1, 5): 5 = ab^1 = ab

Solving these two equations simultaneously, we find that a = 20 and b = 5.

Therefore, the formula for the exponential equation passing through the points (0, 20) and (1, 5) is y = 20 * 5^x.