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: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Identify the values of $m$ and $b$

We know that the initial amount of renewable power in 2002 ($y$ - intercept, when $x = 0$) is $b=6.07$ quadrillion BTUs. The slope $m$ is the rate of change, which is $0.17$ quadrillion BTUs per year. Let $y$ be the amount of renewable power $P$ in quadrillion BTUs and $x$ be the number of years since 2002.

Step3: Write the equation

Substitute $m = 0.17$ and $b = 6.07$ into $y=mx + b$. The equation is $P=0.17x + 6.07$, where $x$ represents the number of years since 2002 and $P$ is the amount of renewable power in quadrillion BTUs.

Answer:

$P = 0.17x+6.07$