The equation that expresses the amount of oil, A, in terms of the number of weeks, w, since October 31 is:
A(w) = 250 gal - w*15gal.
How to write the linear equation?
We know that Betty and Paul start with 250 gallons of oil in October 31, which is our initial time, w = 0.
Since November they start using 15 gallons per week, so one week after, at w = 1 (this would be at the end of the first week of November) they will have:
250 gal - 15 gal = 235 gallons of oil.
And each week after that, the amount of oil in the tank will decrease by a fixed amount of 15 gal. This can be described wit a linear equation.
If for each week the tank losses 15 gallons of oil, after w weeks the amount of oil in the tank is:
A = initial quantity - amount that is lost en the w weeks.
A = 250 gal - w*15gal.
The equation that expresses the amount of oil, A, in terms of the number of weeks, w, since October 31 is:
A(w) = 250 gal - w*15gal.
If you want to learn more about linear equations:
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