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Linear functions SAT question
Math · Algebra · Medium · Answer it here, explanation included.
The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food. If x food calories is equivalent to k kilojoules, of the following, which best represents the relationship between x and k ?
ExplanationShow
Choice B is correct. The relationship between x food calories and k kilojoules can be modeled as a proportional relationship. Let 
and 
represent the values in the first two rows in the table: 
and 
. The rate of change, or 
, is 
; therefore, the equation that best represents the relationship between x and k is 
.
Choice A is incorrect and may be the result of calculating the rate of change using 
. Choice C is incorrect because the number of kilojoules is greater than the number of food calories. Choice D is incorrect and may be the result of an error when setting up the equation.
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