The growth rate of the sunflower from day 14 to day
35 is nearly constant. On this interval, which of the
following equations best models the height h, in
centimeters, of the sunflower t days after it begins
to grow?
A) h = 2.1t − 15
B) h = 4.5t − 27
C) h = 6.8t − 12
D) h = 13.2t − 18

Question

19-08-2022
Mathematics

contestada

The growth rate of the sunflower from day 14 to day
35 is nearly constant. On this interval, which of the
following equations best models the height h, in
centimeters, of the sunflower t days after it begins
to grow?
A) h = 2.1t − 15
B) h = 4.5t − 27
C) h = 6.8t − 12
D) h = 13.2t − 18

Respuesta :

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hemakumar0116 hemakumar0116 · Answer 1 · 2022-08-24T08:31:23+02:00

Option B) h = 4.5t – 27 is the equation of the straight line that best models the height h, in centimeters, of the sunflower t days after it begins to grow.

From the above graph we can see that from day 14 to day 35 , it is a straight line.

And equation of a straight line is y = mx + c or y – y1 = m(x – x1)

Where, m =slope of the line

c = intercept

the equation can be rewritten as h – h1 = m(t – t1) (1)

So, to find the equation of line , first we will calculate the slope of the line.

To find the slope : m = (h2 – h1 ) / (t2 – t1) (2)

From the graph and the table given, the coordinates (t1 , h1 ) and ( t2 , h2 ) are (14 , 36.6) and (35, 131) respectively.

Putting these values in equation (2), we get

m = (131 – 36.6)/(35 – 14)

m = 94.4/21

m = 4.5

now to find the equation of line we put the values in equation (1), we get

h – 36.6 = 4.5(t – 14)

h – 36.6 = 4.5t – 63

h = 4.5t -63 + 36.6

h = 4.5t -27

Hence the equation of the line is , option B) h = 4.5t -27

Learn more about the straight line here : https://brainly.com/question/6977417

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The growth rate of the sunflower from day 14 to day 35 is nearly constant. On this interval, which of the following equations best models the height h, in centimeters, of the sunflower t days after it begins to grow? A) h = 2.1t − 15 B) h = 4.5t − 27 C) h = 6.8t − 12 D) h = 13.2t − 18

Respuesta :

Otras preguntas

The growth rate of the sunflower from day 14 to day
35 is nearly constant. On this interval, which of the
following equations best models the height h, in
centimeters, of the sunflower t days after it begins
to grow?
A) h = 2.1t − 15
B) h = 4.5t − 27
C) h = 6.8t − 12
D) h = 13.2t − 18