Question

Plant A i 5 centimeter tall and growing at a rate of 2. 5 centimeter per month. Plant B i 4 centimeter and growing at a rate of 4. 5 centimeter per month. When will Plant B exceed the height of Plant A. Write an inequality that repreent the ituation

Answer 1

In linear equation, plant b height will exceed the height of plant a after 16 days.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.        

                                  Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Plant a: 5 cm tall and rate of change = 2.5 cm per month

Plant b: 4  cm tall and rate of change = 4.5 cm per month.

Now we have to form the linear equations.

Plant a:

y = 2.5x + 5, where y is the total height and "x" be the number of months.

Plant b:

y = 4.5x + 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.

2.5x + 5 =4. 5x + 4

Isolate the variables terms and constants.

4.5x - 2.5x = 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.

Learn more about linear equation

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