Algebra 2 question a candle is 17 in. tall after burning for 3 hours. after 5 hours, it is 15 in. tall. write a linear equation to model the relationship between height (h) of the candle and time (t). predict how tall the candle will be after burning 8 hours.

The linear equation is:   and the height of the candle after 8 hours will be 12 in.

Explanation

A candle is 17 in tall after burning for 3 hours and after 5 hours, it is 15 in tall.

If the time is and the height is , then two points in form of will be:   and

Now slope

So, the equation according to slope-intercept form will be:   , where is the y-intercept.

Plugging the point into the above equation........

Thus, the linear equation that models the relationship between height of the candle and time will be:   or

Now, for finding the height of the candle after burning 8 hours, we need to plug into the equation. So.....

Thus, the height of the candle after 8 hours will be 12 in.