!Pluto question! Consider the explicit formulas for two sequences.
f(n) = 2^(n – 1) - 1
g(n) = 3n + 6
Which mathematical statement is correct?
A. g(8) = f(5)
B. f(7) > g(10)
C. g(6) > f(6)
D. f(5) < g(3)

Step-by-step explanation:

First, create an equation for the price of the car for both dealerships:

Dealership A:   y = 150x + 2500

Dealership B:   y = 125x + 3000

where y is the total cost of the car and x is the number of months that have passed.

You know that y is equal to "150x + 2500" AND y is equal to "125x + 3000," so "150x + 2500" must be equal to "125x + 3000"

Now, just solve for x to find the number of months at which the total amount paid would be the same for both dealers:

So, after 20 months, the price of the car at both dealerships is the same. To find that price, just plug in 20 for x in one of the equations (because x was the number of months):

So, the car costs the same after 20 months, $5500 at either dealership.

Step-by-step explanation: