the linear equation ( c = 0.1998s + 76.4520 ) models the number of calories ( c ) in a beef hot dog as a…

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.

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.

Answer

Brief Explanations:

The linear equation is in the form (y = mx + b) (here (c = 0.1998s+76.4520), similar to (y = mx + b) where (y = c), (x = s), (m) is the slope). The slope (m = 0.1998). In the context of a linear relationship (y=mx + b), the slope (m) represents the rate of change of (y) with respect to (x). Here, (y) is the number of calories (c) and (x) is the amount of sodium (s). So, for each 1 - unit increase in (x) (1 - milligram increase in sodium), (y) (calories) changes by (m) (0.1998).

Answer:

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