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

Answer:

y = - 5600x + 2200

Step-by-step explanation:

Given that:

x = number of pounds lost per day

y = calorie intake

Using the linear relation :

y = mx + c

When calorie intake = 2200, no loss or gain in weight ; x = 0 ; hence intercept c = 2200

y = 0 + 2200

Each pound of body weight lost = - 3400 calories

Hence, equation when x = 1

-3400 = m(1) + 2200

-3400 = m + 2200

-3400 - 2200 = m

-5600 = m

Hence,

y = mx + c

y = - 5600x + 2200