Christian just lit a new candle and then let it burn all the way down to nothing. The length of the candle remaining unburned, in inches, can be modeled by the equation L=6−t where t represents the number of hours since the candle was lit. What is the slope of the equation and what is its interpretation in the context of the problem?

Given:

The length of the candle remaining unburned, in inches, can be modeled by the equation

where, t represents the number of hours since the candle was lit.

To find:

The slope and its interpretation in the context of the problem.

Solution:

Slope intercept form of a linear function is

where, m is slope and b is y-intercept or initial value.

We have,

It can be written as

The coefficient of t is -1. So, using slope intercept form the slope of this equation is -1.

Here, -1 means length of the candle remaining unburned is decreasing at the rate of 1 inch per hour.

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step-by-step explanation:

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v