Question

I need help please!!!!

Answer 1

Answer: 0.50

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Step-by-step explanation:

x = number of weeks

y = height of the plant (inches)

The first sentence of "plant is 4 inches tall on week 8" gives us the point (x,y) = (8,4)

The second sentence gives us the point (32,16)

To find the growth rate, compute the slope.

`(x_1,y_1) = (8,4) \text{ and } (x_2,y_2) = (32,16)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = (y_(2) - y_(1))/(x_(2) - x_(1))\\\\m = (16 - 4)/(32 - 8)\\\\m = (12)/(24)\\\\m = (1)/(2)\\\\m = 0.5\\\\`

The slope of 0.5 means the plant grows 0.5 inches per week.

Put another way, the plant grows 1 inch per every 2 weeks.

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Another approach:

The plant goes from 4 inches to 16 inches. It has grown 16-4 = 12 inches over the timespan of 24 weeks (since 32-8 = 24).

So its growth rate is 12/24 = 0.5 inches per week.

Notice how these values and calculations were mentioned in the previous section.