You plant a tomato plant in your garden. It starts at 8 inches tall. After 1 week, it grows to 11 inches tall. After two weeks, it is now 14 inches tall. After 3 weeks, the plant is 17 inches tall. Write a linear equation that represents this model. How tall is the tomato plant after 56 weeks?

The tomato plant is 176 inch tall after 56 weeks.

Step-by-step explanation:

x  ⇒ weeks and y ⇒ inch.

Week 0 the tomato plant starts at 8 inch tall, week 1 it grows to 11 inch tall, week 2 it grows to 14 inch tall, week 3 it grows to 17 inch tall, week 56 is ? inch tall. So, every week (x) the tomato plant grows 3 inch (y).

y = 3x + 8

y = (3 × 56) + 8  

y = 168 + 8

y = 176 inch