Question

Write the exponential equation

A. y = 2.5(2)^x
B. y = 10(1/2)^x
C. y = 2(2.5) ^x
D. y = 1/2(10)^x

Answer 1

A. y = 2.5(2)^x

Explanation:

Given that when

x = 1, f(x) = 5

x = 2, f(x) = 10

x = 3, f(x) = 20

x = 4, f(x) = 40

x = 5, f(x) = 80

x = 6, f(x) = 160

Considering all the options

y = 2.5(2)^x

Substitute x = 1

y = 2.5(2)^1 = 2.5 *2 = 5

Substitute x = 2

y = 2.5(2)^2 = 2.5 * 4 = 10

Substitute x = 3

y = 2.5(2)^3 = 2.5 * 8 = 20

Substitute x = 6

y = 2.5 (2)^6

= 2.5 * 64

= 160

Since the function is true for all the values of x substituted, then the answer is A. y = 2.5(2)^x