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The table above gives the typical amount...


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 ?

A

k = 0.24x

B

k = 4.2x

C

x = 4.2k

D

xk = 4.2

Text Solution

Verified by Experts

The correct Answer is:
B
The relationship between x food calories and k kilojoules can be modeled as a proportional relationship. Let `(x_1, k_1)` and `(x_2, k_2)` represent the values in the first two rows in the table:
(4.0, 16.7) and (9.0, 37.7). The rate of change, or `((k_2-k_1))/((x_2-x_1))` , is `21/5=4.2` , therefore, the equation that best represents the relationship between x and k is k = 4.2x.
Choice A is incorrect and may be the result of calculating the rate of change using `((x_2-x_1))/((k_2-k_1))` . Choice C is incorrect and may be the result of confusing the independent and dependent variables. Choice D is incorrect and may be the result of an error when setting up the equation.
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