Answer:
![T= 8p+1](https://tex.z-dn.net/?f=T%3D%208p%2B1)
Step-by-step explanation:
Given :Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew.
To Find: a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew.
Solution :
Let total number of tomatoe plants be T
Since we are given that Lauryn grew tomato plants = p
We are also given that Padma grew 5 fewer than 3 times the number Lauryn grew.
⇒ ![3p-5](https://tex.z-dn.net/?f=3p-5)
We are also given that Kent grew 6 more than 4 times the number Lauryn grew.
⇒ ![4p+6](https://tex.z-dn.net/?f=4p%2B6)
So, total number of tomato plants :
⇒ ![T= p+3p-5+4p+6](https://tex.z-dn.net/?f=T%3D%20p%2B3p-5%2B4p%2B6)
⇒ ![T= 8p+1](https://tex.z-dn.net/?f=T%3D%208p%2B1)
Hence a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew is ![T= 8p+1](https://tex.z-dn.net/?f=T%3D%208p%2B1)