Answer:
The height of the candle after 7 hours is 21.3 centimeters.
Step-by-step explanation:
From the information given you can assign the following values:
x1=10; y1=21
x2=28; y2=19.2
First, you have to find the slope using the following formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{19.2-21}{28-10}[/tex]
m=-0.1
Then, you can find the equation using the point/slope formula:
y-y1=m(x-x1)
y-21=-0.1(x-10)
y-21=-0.1x+1
y=-0.1x+22
Finally, to find the answer you need to replace the value of x that would be 7 in y=-0.1x+22:
y=-0.1(7)+22
y=-0.7+22
y=21.3
According to this, the height of the candle after 7 hours is 21.3 centimeters.
