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motikmotik
3 years ago
8

In a recent year, certain colleges and universities received about $268 million in aid. Ten years later, they received about $94

million. Find the percent of change. State whether the change is an increase or a decrease.
a.35% decrease
b. 35% increase
c. 65% increase
d. 65% decrease
Mathematics
2 answers:
topjm [15]3 years ago
8 0
D) 65% decrease. 

I worked it out by: 268 mill - 94 mill (calculating the difference in money) 
then divided that by the original 268 mill, to finally get 0.64925.... 

And since the money is decreasing, it is a 65% decrease. 

Hope this helps, and I think it should be right - but maybe double check in case :) 
Virty [35]3 years ago
4 0

Answer:

d. 65% decrease

Step-by-step explanation:

In the current situation, the colleges and universities received about $268 million in aid.

Ten years later, they received about $94 million.

Decrease in amount is = (268-94) million dollars

= 174 million dollars

The percentage of change with respect to current value is :

\frac{174}{268}\times100=64.93% ≈65%

And since the amount of aid received is decreasing, so this percentage is a decreased value.

The answer is option D.

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

How I got that answer:

We have gone from 54 websites to 793 websites. This is a change of 793-54 = 739 new websites. This is over a timespan of 2004-1995 = 9 years.

Since we have 739 new websites over the course of 9 years, this means the rate of change is 739/9 = 82.1111... where the '1's go on forever. Rounding to the nearest whole number gets us roughly 82 websites a year.

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In a more written out way, the steps would be

slope = rise/run

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

slope = (793 - 54)/(2004 - 1995)

slope = 739/9

slope = 82.111....

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