Which statement is NOT true ???
1 answer:
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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 : brainly.com/question/6977417
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By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.
<h3>What is quadratic equation ?</h3>Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .
Given work of Penelope is
Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following
By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.
To learn more about quadratic equations visit : brainly.com/question/1214333