Question

the linear equation ( c = 0.1998s + 76.4520 ) models the number of calories ( c ) in a beef hot dog as a function of the amount of sodium ( s ), in milligrams, in the hot dog. identify the slope and explain what the slope means in the context of the problem. a the slope is 0.1998. the number of calories is increased by 0.1998 for each 1 - milligram increase in sodium. b the slope is 0.1998. the amount of sodium, in milligrams, is increased by 0.1699 for each increase of 1 calorie. c the slope is 76.4520. this is the number of calories in a beef hot dog with no sodium. d the slope is 76.4520. in milligrams, this is the amount of sodium in a beef hot dog with no calories.

Explanation:

The linear equation is in the form \(c = ms + b\) (slope - intercept form \(y=mx + b\)), where \(m\) is the slope. Here, \(m = 0.1998\). The slope represents the rate of change of the dependent variable (\(c\), calories) with respect to the independent variable (\(s\), sodium). So, for each 1 - milligram increase in sodium (\(s\)), the number of calories (\(c\)) increases by the value of the slope.

Answer:

A. The slope is 0.1998. The number of calories is increased by 0.1998 for each 1 - milligram increase in sodium.