You plant an 8-inch-tall tomato plant that grows 5 inches taller each week. On the same day, you plant a 14-inch-tall tomato plant that grows 3.5 inches taller each week. Graph a system of equations that represents the heights y (in inches) of the plants after x weeks. Use the graph to solve the system.

Step-by-step explanation:

Required equations are:

The graphical solution is given below

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.