A corn silo contains 8,250 cubic feet of corn before it is loaded into a storage container. The corn is loaded from the silo int
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Answer:
Step-by-step explanation:
Slope intercept form is a way of modeling a quadratic equation, where the coefficient of the term () is the slope (change) of the line, and the constant is the y-intercept. In essence;(
), where (
) is the slope and (
) is the y-intercept.
The slope of the given line is () because, this is the rate at which the candle burns, therefore, it is the change in the line. The change is (
) because this is the rate of burning, the slope is also negative since the height is decreasing. (
) is the y-intercept because it is the starting height of the candle. One will take the time since the start of burning the candle, multiply it by the slope, and add it to the y-intercept to find the current height of the candle. Therefore, the equation is (
), where the output (
) is the current height of the candle, and the input (
) is the time at which the measruement was taken.
First convert the first equation to combine like terms. Then set your equations up as an addition problem. You want at least one of your variables (y) to be of opposite values so the will cancel out to leave you with just one variable (x). Plug in 1/3 for the x into one of the equations to solve for y. Then write as an ordered pair.
