Hi there! I have been working forever on this question! My teacher already told us the answer was 13, but WHY? Please help me choose a method! Here is the question.
You start an exercise routine by lifting 3 lb and increasing the weight by 2lb per month. Predict how much weight you will lift after 5 months. Explain why you chose the method you used.
You start an exercise routine by lifting 3 lb and increasing the weight by 2lb per month. Predict how much weight you will lift after 5 months. Explain why you chose the method you used.
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2lb x 5 = 10
10 + 3 = 13
multipyling the weight by each month and adding the current weight gives you the answer.. im prolly younger than you and i know this..
10 + 3 = 13
multipyling the weight by each month and adding the current weight gives you the answer.. im prolly younger than you and i know this..
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f(m) = 3+2m
The amount of weight you lift is a function of your starting weight, 3, plus 2 pounds for every month. To work out a function, you pick a value for m and substitute that value on the right whenever m appears, so 3+2*5 You could also write this as:
t = 3+2m
Where t is the total weight and m is the number of months.
So in 5 months, your weight will be
3+2(5) or 3+10 or 13
Finally you could say:
The total weight is 3 plus 2 for every month. Since it has been 5 months, the increase has been 5*2, or 10, plus the 3 I started with, for a total of 13.
Each of the above methods says the same thing.
The amount of weight you lift is a function of your starting weight, 3, plus 2 pounds for every month. To work out a function, you pick a value for m and substitute that value on the right whenever m appears, so 3+2*5 You could also write this as:
t = 3+2m
Where t is the total weight and m is the number of months.
So in 5 months, your weight will be
3+2(5) or 3+10 or 13
Finally you could say:
The total weight is 3 plus 2 for every month. Since it has been 5 months, the increase has been 5*2, or 10, plus the 3 I started with, for a total of 13.
Each of the above methods says the same thing.
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this really isn't hard at all. this is a linear funtion, you are starting with 3 lb at 0, and every month you add 2. so lets give month a variable and call it m. the equation would be y= 2m +3
y is the weight you are lifting and m is the month. so if you are at month 0 plug 0 for m and you get y=3lb
and at month 5 plug 5 in m y = 2(5) + 3 and you get 13lb
y is the weight you are lifting and m is the month. so if you are at month 0 plug 0 for m and you get y=3lb
and at month 5 plug 5 in m y = 2(5) + 3 and you get 13lb
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Initial weight: 3lb
After 1st month: 3lb+2lb=5lb
After 2nd month: 5lb+2lb=7lb
After 3rd month: 7lb+2lb=9lb
After 4th month: 9lb+2lb=11lb
After 5th month: 11lb+2lb=13lb
After 1st month: 3lb+2lb=5lb
After 2nd month: 5lb+2lb=7lb
After 3rd month: 7lb+2lb=9lb
After 4th month: 9lb+2lb=11lb
After 5th month: 11lb+2lb=13lb
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Aha!
Well....
Use the equation: 3 + (2m) = w
m is equal to number of months
w is equal to weight, in pounds.
If you plug in the number of months into 'm,' you'll get the amount of weight lost!
Well....
Use the equation: 3 + (2m) = w
m is equal to number of months
w is equal to weight, in pounds.
If you plug in the number of months into 'm,' you'll get the amount of weight lost!
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The equation is a linear. Y represents for the weight after x months and remember you started with 3 lb
y = 2x + 3
after 5 months, so x = 5
y = 2*5 + 3 = 13.
y = 2x + 3
after 5 months, so x = 5
y = 2*5 + 3 = 13.
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I think you should give up on this problem and contemplate other options, such as stripping. Stripping is easier than math.
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first month 3
second month 5
third month 7
fourth month 9
fifth month 11
after fifth month 13
second month 5
third month 7
fourth month 9
fifth month 11
after fifth month 13
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3 lb + (2 lb/month) *(5 months) = 13 lb
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Yeah it is 13. because if you multiply 2(5) equals 10 then add that by your first weight which is 3 you get 13.
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3+5*2=13