Name Per
Date
Algebra 2 Honors Extra Credit - After Ch 4
1) In living organic material, the ratio of the number of radioactive carbon isotopes
(carbon-14) to the number of non-radioactive carbon isotopes (carbon-12) is about
i to 10!? When organic material dies, its carbon-12 content remains fixed whereas
its radioactive carbon-14 begins to decay with a half-life of about 5700 years.
To estimate the age of dead organic material, scientists use the following formula
which denotes the ratio of carbon-14 to carbon-12 present at any time / (in years).
R=
e 8223
1012
Estimate the age of a newly discovered fossil in which the ratio of carbon-14 to carbon -12 is
1013

=====================================

explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

idk i would have to be there to under stand it

step-by-step explanation:

idk i would have to be there to under stand it

answer: asdfghjkl,mnbv

step-by-step explanation: