Answer:
69 days
Step-by-step explanation:
Given that sunflower grows at constant rate.
Let the rate of growth be x feet per day. It means sum flower grows x feet every day.
in 1 day plant grows x feet,
so in 92 days plant will grow 92*x feet
In 92 days the growth of plant will be = rate of growth *92 = 92*x = 92x feet
But given that A sunflower grows 8 feet in 92 days
so, 92x will be same as 8 feet.
lets put it in equation
92x =8 feet
x = 8/92 = 2/23
Thus, rate of growth of sunflower plant is 2/23 feet per days.
it means it grows 2/23 feet every day.
Let number of days taken to grow 6 feet be y days
in 1 day plant grows 2/23 feet feet,
so in y days plant will grow 2/23*y feet
In y days the growth of plant will be = rate of growth *y= (2/23)*y = 2y/23 feet
But 2y/23 should be equal to 6 feet
2y/23 = 6
Multiplying both side by 23
2y/23 * = 6 *23
=> 2y =138
dividing both side by 2
2y/2 =138/2
=> y = 69
Thus, it will take 69 days for sunflower to grow 6 feet.