Answer:
The equation that models the situation is [tex]y = 8 - 0.75t[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in slope-intercept formula, has the following format:
[tex]y = mx + b[/tex]
In which m is the slope(how much y changes when x changes by 1 unit) and b is the intercept, which is the value of t when x = 0.
A candle is 8 inches tall and burns at 3/4 inch each hour.
Using t as number of hours and y as the height.
Initial height of 8 inches, that is, when [tex]t = 0, y = 8[/tex], so [tex]b = 8[/tex]
Burns at 3/4 inch each hour.
That is, the height decreases by a rate of 3/4 inch each hour, so [tex]m = -\frac{3}{4} = -0.75[/tex]
So
[tex]y = 8 - 0.75t[/tex]
