Answer:
y = 2(1 + 0.12)ˣ
Step-by-step explanation:
Exponential functions look like y = a(b)ˣ.
"x" and "y" would be points that are on the graph.
"a" is the y-intercept.
"b" is the rate of growth.
When "x" is positive in the equation:
"b" is greater than 1: exponential growth.
"b" is greater than 0 but less than 1: exponential decay.
Simplify each equation inside the brackets to find "b":
y = 2(1 + 0.12)ˣ
y = 2(1.12)ˣ
b = 1.12; b > 1; exponential growth.
y = 7(1 – 0.09)ˣ
y = 7(0.91)ˣ
b = 0.91; 0 < b < 1; decay
y = 0.63ˣ
b = 0.63; 0 < b < 1; decay
When "x" is negative (like in the last option):
b > 1 is exponential decay.
0 < b < 1 is exponential growth.
Since b = 2.42 when "x" is negative in the equation, y = 2.42⁻ˣ is a decay.
