Question

the average annual cost of heating a home woth solar energy is $200 with an inital cost of $9000. During the month of may, the solar energy outlet is offering a 25% discount off the total cost. Express the discounted cost as a function of the number of years.

Answer 1

Answer: Discounted function will be

$C(x)=6750+150t$

Step-by-step explanation:

Since we have given that

Initial cost of solar energy = $9000

Average annual cost of heating a home with solar energy = $200

Rate of discount he received on the total cost = 25%

Let the number of year will be t

According to question, we need to write a discounted cost as a function of number of years.

So, our function becomes,

$C(x)=\frac{100-25}{100}(9000+200t)\\\\C(x)=\frac{75}{100}(9000+200t)\\\\C(x)=0.75(9000+200t)\\\\C(x)=9000\times 0.75+200\times 0.75t\\\\C(x)=6750+150t$

Hence, discounted function will be

$C(x)=6750+150t$