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.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

well the answer to that is xoxoxo

step-by-step explanation: