Question

Linda needs 2200 calories per day to maintain her present weight and daily activities. She wants to lose x pounds per day. Each pound of body weight lost is equivalent to 3400 calories. Write her daily calorie intake as a linear function of the number of pounds of weight lost per day. (Let y represent the calorie intake and x represent the number of pounds of weight lost per day.)

Answer 1

To write Linda's daily calorie intake as a linear function of the number of pounds of weight lost per day, we need to determine the relationship between calorie intake and weight loss. Linda's daily calorie intake (y) in terms of the number of pounds of weight lost per day (x) is y = 2200 - 3400x.

Step-by-step explanation:

To write Linda's daily calorie intake as a linear function of the number of pounds of weight lost per day, we need to determine the relationship between calorie intake and weight loss.

First, we need to convert the number of pounds of weight lost per day into calories. Since each pound of body weight lost is equivalent to 3400 calories, we can multiply the number of pounds of weight lost per day by 3400 to get the number of calories lost per day.

Next, to find Linda's daily calorie intake, we subtract the number of calories lost per day from her current daily calorie intake of 2200. Therefore, the linear function for Linda's daily calorie intake (y) in terms of the number of pounds of weight lost per day (x) is:

y = 2200 - 3400x