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.

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Answer:

Slope-Intercept is:  y = mx + b

your "x" is the thing that won't change by what you do to the other thing (independent variable). For your problem, time is time, if you change the btus you won't alter time. So your independent variable is time. They want you to represent time with the letter Y.

your "y" is the dependent. for your equation, y will represent btus. They want you to represent this with the letter P.

m = slope or average change (0.17 quadrillion btus/year)

b = starting value and/or y-intercept (6.07 quadrillion btus)

plug into y = mx + b

P = (0.17 quadrillion btus/year)Y + (6.07 quadrillion btus)

Explanation: