To rent a home water softnener, there is an installation fee of $60 plus a $ 25 monthly fee.

Write a linear equaion to represent the total cost, y, of renting a water softener for x months.

Use th linear equation to compute the cost of renting the water softener for 6 months.

Use the linear equation to compute the cost of renting the water softener for 2 years.

y = 60 + 25x

I'll let you do the calculations.

Find the percent of decrease.

Original rent: $600
New rent: $450

To write a linear equation that represents the total cost of renting a water softener, we can break down the costs involved.

First, we have an installation fee of $60, which is a one-time expense. Then, there is a monthly fee of $25, which will be paid for each month the water softener is rented.

Let's start by expressing the monthly fee as a function of the number of months (x) the water softener is rented. We can do this by multiplying the monthly fee ($25) by the number of months (x):

Monthly fee = $25 * x

The installation fee is a one-time cost, so it remains constant regardless of the number of months rented.

Now, let's write the equation for the total cost, y, of renting a water softener for x months:

y = $60 + ($25 * x)

This linear equation represents the total cost of renting a water softener based on the number of months rented.

Now, let's use this equation to compute the cost of renting the water softener for 6 months:

y = $60 + ($25 * 6)
= $60 + $150
= $210

Therefore, the cost of renting the water softener for 6 months would be $210.

Next, let's compute the cost of renting the water softener for 2 years. Since there are 12 months in a year, we'll calculate the cost for 24 months:

y = $60 + ($25 * 24)
= $60 + $600
= $660

Therefore, the cost of renting the water softener for 2 years would be $660.