The cost to rent a dvd has decreased 25% per year over the past several years if the current cost is $2 write an exponential equation describing this situation, what did it cost to rent a DVD 5 years ago

y = x(0.75)^t

the cost to rent a dvd 5 years ago is $8.43

Step-by-step explanation:

Let x represent the cost to rent a dvd 5 years ago;

And y the cost to rent a dvd t years after.

The cost to rent a dvd has decreased 25% per year, this can be written as an exponential function;

y = x(100% -25%)^t

y = x(1-0.25)^t

y = x(0.75)^t 1

if the current cost is $2;

t = 5 years

y = $2

Substituting the values into equation 1;

2 = x(0.75)^5

2 = x(0.2373046875)

x = 2/(0.2373046875)

x = 8.427983539094

x = $8.43

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.