Write a linear equation that represents the given model. How tall is the tomato plant after 56 weeks?
You plant a tomato plant in your garden. It starts at 8 inches tall. After 1 week, it grows to 11 inches tall. After 2 weeks it is now 14 inches tall. After 3 weeks the plant is 17 inches tall.
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(11-8)/1 = 3 in/week
(14-11) /1 = 3 in/week
(17-14)/1 = 3 in/ week
so
h = 3 * weeks + 8
after 56
h = 3*56 +8
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I thought someone responded, so I said thank you but no one did 😖
. . . i’m stupid
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THANK YOU ! ❤️
You are welcome.
for the other one y = -3 x
To find a linear equation that represents the given model, we need to first identify the pattern between the number of weeks and the height of the tomato plant.
Looking at the information provided, we can see that the height of the tomato plant increases by 3 inches every week. This gives us a constant rate of growth, indicating that we can use a linear equation to represent the relationship between the number of weeks (x) and the height of the plant (y).
Let's use the point-slope form of a linear equation to find the equation that represents this model:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line.
Using the point (1, 11), we can substitute x1 = 1 and y1 = 11 into the equation. Also, since the slope is the rate of growth (3 inches per week), we can substitute m = 3.
y - 11 = 3(x - 1)
Simplifying the equation:
y - 11 = 3x - 3
To find the height of the tomato plant after 56 weeks, we substitute x = 56 into the equation and solve for y:
y - 11 = 3(56) - 3
y - 11 = 168 - 3
y - 11 = 165
y = 176
Therefore, the height of the tomato plant after 56 weeks is 176 inches.