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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 3900 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.)

y=

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 equiv class=

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boffeemadrid

The calorie intake is y.

The number of pounds of weight lost per day is x.

m = Change of y with respect to x

when no weight is lost per day the amount of calories taken so [tex]x=0[/tex] and [tex]y=2200[/tex]

[tex]y=m\times 0+2200\\\Rightarrow y=2200[/tex]

So, y intercept, [tex]c=2200[/tex]

When 3900 calories are lost one pound is lost so [tex]x=1[/tex] and [tex]y=-3900[/tex]

[tex]y=m+2200[/tex]

[tex]\\\Rightarrow -3900=m+2200\\\Rightarrow m=-6100[/tex]

So, the linear equation would be [tex]y=-6100x+2200[/tex].

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