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In Lily's garden, there are 5 rose bushes the first year. Each year, she adds two new rose bushes. She
has 20 tulip plants the first year and loses 3 each year. When will the number of rose bushes equal
the number of tulip plants? Use graphing to find the solution.

Answer :

Haileyweego

Step-by-step explanation:

Let x = the number of years since the first year and let y = the total number of plants.

Roses: y = 5 + 2x

Tulips: y = 20 – 3x

You can use elimination to solve.

y = 5 + 2x

(-)y = 20 – 3x

0 = -15 + 5x

15 = 5x

3 = x

This means that 3 years after the first year, the number of rose bushes equals the number of tulip plants.

The graphs appear to

intersect at (3, 11) which verifies that x=3

View image Haileywee
MrRoyalgo

The number of rose bushes will equal the number of tulip plants after 3 years

How to determine the year?

The given parameters are:

Rose bushes

  • Initial = 5
  • Additional = 2

Tulip bushes

  • Initial = 20
  • Additional = -3

So, the number of rose bushes and tulip bushes each year is:

y = 5 + 2x

y = 20 - 3x

From the graph of both equations, we have:

(x,y) = (3,11)

Hence, the number of rose bushes will equal the number of tulip plants after 3 years

Read more about linear equations at:

https://brainly.com/question/14323743

View image MrRoyal

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