Answer: y = 7(2)^x
Explanation:
The standard form of the exponential equation is
y = ab^x
We would substitute the corresponding values of x and y into the formula.
For x = 0 and y = 7, we have
7 = ab^0
7 = a
For x = 4, y = 112, we have
112 = 7(b)^4
112 = 7b^4
b^4 = 112/7 = 16
Taking the 4th root of both sides,
b = 2
Substituting a = 7 and b = 2 into the formula, the exponential function is
y = 7(2)^x
