Question

Find the exponential function that satisfies the given conditions:

Initial value = 34, increasing at a rate of 7% per year

Answer 1

Welcome to QC!
ok so,

f(x)=33*(1.07)^x
f(x) will be ur exponential growth function showing growth after x years.u have to find the exponential function that works with the given conditions: Initial value = 33, increasing at a rate of 7% per year. bc an exponential growth function is in form: y=a*(1+r),where a= initial value of function and r = growth rate in decimal form.
Given:
a=33
r=7%. sooo convert ur given rate in decimal form.
7% = 7/100 =0.07- this is basic math(shouldn't even be considered math)
then u have to substitute our given values in exponential function form:
f(x)=33*(1+0.07)^x
f(x)=33*(1.07)^x
and nowwwww, the exponential function that satisfies our given conditions will be .
f(x)=33*(1.07)*^x