Question

Plant a is 5 centimeters tall and growing at the rate of 3 centimeters a month. plant a is 4 centimeters tall and growing at the rate of 5 centimeters a month. when will plan b exceed the height of plan a

Answer 1

This question can be answered by graphing, but first you need to write an equation using slope- intercept form

y=mx+b , where m is the slope and b is the y intercept

Answer 2

plant b height will exceed the height of plant a after 16 days.

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.