In an effort to save money on groceries, you have decided to plant your own tomatoes this year. You buy two different tomato seed varieties from the nursery and plant them in your garden, labeling them and . Since you hope to plant tomatoes every year, you want to keep track of which variety ( or ) grows tall enough to produce fruit more quickly. a. On average, Variety grows at a rate of 3 inches per week, and Variety grows at a rate of 4.5 inches per week. Write two equations to model the daily rates of growth for your tomato plants. b. Graph these two rate equations on a separate piece of paper. Describe in detail what your graph looks like. Which variable did you place along the -axis? Along the -axis? Why did you choose this arrangement of variables? c. To produce fruit, Variety needs to be 25 inches tall, and Variety needs to be 35 inches tall. According to your graph, which variety reaches its fruit-producing height first? Explain how you choose your answer, and include an estimation of how long it takes for both varieties to produce fruit. d. After graphing your equations, you remember that Variety took an extra week to poke up through the soil before it grew at its normal weekly rate! Does this information change your answer about which plant produces fruit first? Why or why not? Which plant will you choose to plant next year?