Question

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

Answer 1

C.
`6+z=44\Rightarrow z=38\ \text{inches}`

Explanation:

The plant has initial length of
`6\ \text{inches}`

Let the height it grew after the
`6\ \text{inches}` be
`z`

So total height it grows would be
`6+z`

The total height of the plant is
`44\ \text{inches}`

So we get

`6+z=44\\\Rightarrow z=44-6\\\Rightarrow z=38\ \text{inches}`

The equation that models the situation is

`6+z=44\Rightarrow z=38\ \text{inches}`