Answer:
6 months
Step-by-step explanation:
5cm +3x = 23 (goal)
-5 -5
3x=18
x=6 months
Answer:
plant b height will exceed the height of plant a after 16 days.
Step-by-step explanation:
Plant a: 5 cm tall and rate of change = 3 cm per month
Plant b: 4 cm tall and rate of change = 5 cm per month.
Now we have to form the linear equations.
Plant a:
y = 3x + 5, where y is the total height and "x" be the number of months.
Plant b:
y = 5x + 4 , where y is the total height and "x" be the number of months.
Now we have to when the height of the plant a and plant b are the same.
To do that, we have to equivate both the equations and find x.
3x + 5 = 5x + 4
Isolate the variables terms and constants.
5x - 3x = 5 - 4
2x = 1
Dividing both sides by 2, we get
x = 1 ÷ 2
x = 0.5 months.
So after 15 days, the height of the plant a and plant b are the same.
Therefore, plant b height will exceed the height of plant a after 16 days.
