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aufmodmath1 4.3c007.
depending on the efficiency of a power - plant, 1 ton of coal can produce about 3000 kilowatt - hours of electricity. suppose your family uses 75 kilowatt - hours of electricity per month. how many tons of coal will your family use in one year?
Step1: Calculate annual electricity usage
Annual usage = Monthly usage × 12. Given monthly usage is 75 kilowatt - hours, so annual usage $U = 75\times12=900$ kilowatt - hours.
Step2: Calculate tons of coal needed
If 1 ton of coal produces 3000 kilowatt - hours of electricity, let the amount of coal be $m$ tons. We use the proportion $\frac{m}{1}=\frac{U}{3000}$. Substitute $U = 900$ into the equation: $m=\frac{900}{3000}=0.3$ tons.
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0.3 tons