Lakita is going to plant trees and bushes to landscape her new yard. She cannot exceed her budget of $150. Each tree costs $45, and each bush costs $20.

Which inequality correctly represents the situation, where t is the number of trees and b is the number of bushes Lakita purchases?
45t+20b≤150**
45t+20b<150
45t+20b≥150
45t+20b>150

thank you oobleck.

To represent the situation where Lakita cannot exceed her budget of $150 and each tree costs $45 and each bush costs $20, we need to determine the total cost of the trees and bushes.

The cost of t trees is 45t, and the cost of b bushes is 20b. To stay within her budget, the total cost must be less than or equal to $150. Therefore, the correct inequality is:

45t + 20b ≤ 150

correct