Final answer:
The initial value of the function y=7500(1+0.3)^x is 7500, which is found by setting x to zero in the equation, simplifying it to y = 7500(1).
Step-by-step explanation:
The initial value of the function y=7500(1+0.3)^x is identified by determining the value of y when x is zero since the initial value corresponds to the y-intercept of the function, which is the value of y before any changes are applied (i.e., when the x-value is 0). In the equation presented, setting x to zero gives us:
y = 7500(1+0.3)^0
Since any number to the power of zero is 1, we simplify the equation to:
y = 7500(1)
Thus, the initial value is 7500.