Question

energy from 2002 to 2005, u.s. consumption of renewable energy increased an average of 0.17 quadrillion btus per year. about 6.07 quadrillion btus of renewable power were produced in the year 2002. write an equation in slope - intercept form to find the amount of renewable power p in quadrillion btus produced in year y between 2002 and 2005.

Explanation:

Step1: Identify the slope - intercept form

The slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Let $y$ be the amount of renewable power $P$ in quadrillion BTUs and $x$ be the number of years after 2002.

Step2: Determine the slope and y - intercept

The slope $m$ is the rate of increase, which is 0.17 quadrillion BTUs per year. In 2002 ($x = 0$), the amount of renewable power $b=6.07$ quadrillion BTUs. So the equation is $P=0.17x + 6.07$.

Step3: Find the amount of renewable power in year $y$

Since $x=y - 2002$, substituting $x$ into the equation, we get $P = 0.17(y - 2002)+6.07$.

Answer:

$P = 0.17(y - 2002)+6.07$