Math Problem: Simplifying Expressions for Greenhouse Plants
What is the total number of napa cabbage and bok choy plants in a greenhouse section with y sprinklers?
Which simplified expression represents the total number of napa cabbage plants and bok choy plants in a section with y sprinklers?
Options:
4y^4 - 10y^2 + 25
4y^2 + 9y + 25
5y^2 - 11y + 25
5y^2 + 9y + 25
Answer:
To find the total number of plants in a section of a greenhouse with y sprinklers, you should simplify the expression y(4y - 1) + (y + 5)2. The answer is 5y^2 + 9y + 25.
Explanation:
The question asks for a simplified expression of the total number of plants in a greenhouse section, given the number of sprinklers, y. Each sprinkler in that section yields y(4y - 1) napa cabbages and (y + 5)2 bok choys.
To get the total plants, we add these two quantities together: y(4y - 1) + (y + 5)2
Simplifying the above expression will yield the result: 5y^2 + 9y + 25.