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SATMathematics Practice Test 1

Questions 42 and 43 refer to the following information.

Annual Budgets for Different Programs in Kansas, 2007 to 2010

Program	Year
Program	2007	2008	2009	2010
Agriculture/natural resources	373,904	358,708	485,807	488,106
Education	2,164,607	2,413,984	2,274,514	3,008,036
General government	14,347,325	12,554,845	10,392,107	14,716,155
Highways and transportation	1,468,482	1,665,636	1,539,480	1,773,893
Human resources	4,051,050	4,099,067	4,618,444	5,921,379
Public safety	263,463	398,326	355,935	464,233

Question : 42 of 58

Marks: +1, -0

Which of the following best approximates the average rate of change in the annual budget foragriculture/natural resources in Kansas from 2008 to 2010 ?

$50,000,000 per year
$65,000,000 per year
$75,000,000 per year
$130,000,000 per year

Validate

Solution:

The average rate of change in the annual budget for agriculture/natural resources from 2008 to 2010 is the total change from to 2008 to 2010 divided by the number of years, which is 2. The total change in the annual budget for agriculture/natural resources from 2008 to 2010 is

488,106-358,708=129,398

, in thousands of dollars, so the average change in the annual budget for agriculture/natural resources from 2008 to 2010 is

\frac{129,398,000}{2}=64,699,00

per year.Of the options given, this average rate of change is closest to

65,000,000

per year.

Choices A and C are incorrect; they could result from errors in setting up or calculating the average rate of change. Choice D is incorrect; $130,000,000 is the approximate total change from 2008 to 2010, not the average change from2008 to 2010.

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