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Question 12 of 25 Identify an equation that models the situation and find its solution. A tomato plant was 6 inches tall when it was planted in June. When the first tomatoes were ripe, the plant was 44 inches tall. How many inches did the plant grow? A. z – 6 = 44 z = 50 in. B. 6 + z = 44 z = 39 in. C. 6 + z = 44 z = 38 in. D. z – 6 = 44 z = 49 in. Previous Next 12 / 25 11 of 25 Answered View Summary

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Answer:

C. [tex]6+z=44\Rightarrow z=38\ \text{inches}[/tex]

Step-by-step explanation:

The plant has initial length of [tex]6\ \text{inches}[/tex]

Let the height it grew after the [tex]6\ \text{inches}[/tex]  be [tex]z[/tex]

So total height it grows would be [tex]6+z[/tex]

The total height of the plant is [tex]44\ \text{inches}[/tex]

So we get

[tex]6+z=44\\\Rightarrow z=44-6\\\Rightarrow z=38\ \text{inches}[/tex]

The equation that models the situation is

[tex]6+z=44\Rightarrow z=38\ \text{inches}[/tex]

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