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the oil a lamp burns at a linear rate.the lamp contained 13 ounces of oil ten mins adter it was lit . it contained seven ounces of oil 38 minutes adter it was lit .how many ounces dose it burn per min

Answer :

Edufirst

Answer:

  • The lamp burns 6 ounces of oil per min.

Explanation:

That the oil of a lamp burns at a linear rate means that the rate of burn is constant.

Hence, you can calcualte the rate with which the lamp burns the oil using any two ordered pairs.

  • Rate of burn = [ change in oil ] / [change in time]

  • Rate of burn = [Oil at time 2- Oil at time 1 ] / [time 2 - time 1]

Your two ordered pairs are (13 ounces, 10 min) and (7 ounces, 38 min).

Substituting those pairs in the equation for the rate, you get:

  • Rate = [ 7 ounces - 13 ounces ] / [38 min - 10 min]

  • Rate = ( - 6 ounces) / (18 min) = - 1/3 oz / min ≈ - 0.33 oz / min

The negative sign just shows that the amount of oil is decreasing (the oil is being burned).

Hence, the lamp burns 6 ounces of oil per min.

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