The average annual energy cost for a certain home is $\$4,334$. The homeowner plans to spend $\$25,000$ to install a geothermal heating system. The homeowner estimates that the average annual energy cost will then be $\$2,712$. Which of the following inequalities can be solved to find $t$, the number of years after installation at which the total amount of energy cost savings will exceed the installation cost?

Question

Accepted Answer

$25,000 < (4,334 - 2,712)t$

Answer

$25,000 > (4,334 - 2,712)t$

Answer

$25,000 - 4,334 > 2,712t$

Answer

$25,000 > \dfrac{4,332}{2,712}t$