the cost C for maintenance on a new hybrid car increases each year by 10%. if frank paid $400 this year for maintenance, then the cost x years from now can be given by the function C(X)= 400(n)^x
what is the value of n?

Question

the cost C for maintenance on a new hybrid car increases each year by 10%. if frank paid $400 this year for maintenance, then the cost x years from now can be given by the function C(X)= 400(n)^x
what is the value of n?

exoexoexo · Answer

$$C(X)= 400(n)^{x}$$

jim_thompson5910 · Answer

x = number of years
C(x) = the cost for some year x
n = growth factor

the growth in costs is 10%

so the growth factor is 1+10% = 1+0.1 = 1.1

making n = 1.1 and the C(x) equation to be
$$\Large C(x) = 400(1.1)^x$$

jim_thompson5910 · Answer

By the way, 10% is really high for cost growth. Either Frank should find another car or find someone else to fix his car (that has cost growth less than the rate of inflation).