Answer:
Step-by-step explanation:
Tall candle:
Height = 16 cm
Let x be number of hours
Height that is burnt in 'x' hours = 2.5 *x = 2.5x
Height of the candle after 'x' hours (H) = 16 - 2.5x
When x = 1 ; H = 16 - 2.5*1 = 16 -2.5 = 13.5 cm
x = 2 ; H = 16 - 2.5*2 = 16 - 5 = 11 cm
x = 3 ; H = 16 - 2.5 * 3 = 16 - 7.5 = 8.5 cm
x = 4 ; H = 16 - 2.5*4 = 16 - 10 = 6 cm
x = 5 ; H = 16 - 2.5*5 = 16 - 7.5 = 3.5 cm
x = 6 ; H = 16 - 2.5*6 = 16 - 15 = 1 cm
Short candle:
Height =12 cm
Let x be number of hours
Height that is burnt in 'x' hours = 1.5 *x = 1.5x
Height of the candle after 'x' hours (h) = 12 - 1.5x
When x = 1 ; h = 12 - 1.5*1 = 12 - 1.5 = 10.5 cm
x = 2 ; h = 12 - 1.5*2 = 12 - 3 = 9 cm
x = 3 ; h = 12 -1.5*3 = 12 - 4.5 = 7.5 cm
x = 4 ; h = 12 -1.5*4 = 12 - 6 = 6 cm
x = 5 ; h = 12 -1.5*5 = 12 - 7.5 = 4.5 cm
x = 6 ; h = 12 -1.5*6 = 12 - 9 = 3 cm
x = 7 ; h = 12 -1.5*7 = 12 - 10.5 = 1.5 cm
C) Intersection point of the two equation is an ordered pair that is solution to both equations.
Here, after 4 hours the height of the both the candle is 6 cm
(4 , 6) is the solution of these two equations.
Y-intercept is the point of intersection where x = 0
X-intercept is the point of intersection at x-axis where y = 0
Yes the short candle can burn more than 7 hours. Short candle can burn for 8 hours
