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yaroslaw [1]
3 years ago
6

the 2008 year book at middleton middle school had 236 candid pictures of students. the 2007 yearbook had 214 candid pictures of

students. what was the percent of change in the number of candid student pictures from 2007 to 2008 to the nearest tenth?
Mathematics
1 answer:
Nostrana [21]3 years ago
4 0
Use proportions.
214/236=x/100(100 because it's a percentage.
cross multiply:
23600=214x
solve for x:
x= 11.3(rounded)
11.3% increase
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For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

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We have two points through which the line passes, so we can find the slope:

(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}

Thus, the equation is of the form:

y = - \frac {3} {2} x + b

We substitute one of the points and find "b":

-4 = - \frac {3} {2} (4) + b\\-4 = - \frac {12} {2} + b\\-4 + 6 = b\\b = 2

Finally, the equation is of the form:

y = - \frac {3} {2} +2

ANswer:

y = - \frac {3} {2} +2

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olganol [36]
447 with 0 remainder
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cestrela7 [59]

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