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George weighed 160 pounds when he started college. If he gains just 0.25 pounds each month for four years of college, how much will he weigh? Suppose he doesn't change his habits after graduation, and continues that modest sounding waking weight gain for the next 10 years after college. How much will he weigh for his 10 college reunion?

Respuesta :

Answer:

George will weigh 172 pounds after 4 years of college.

George will weigh 202 pounds 10 years after college.

Step-by-step explanation:

Given:

Weight at the start of the college = 160 pounds.

Weight gain per month = 0.25 pounds

We need to find the weight after 4 years college.

Also we need to find weight 10 years after college.

Solution:

Now we know that;

1 year = 12 months

4 years = [tex]12\times4 = 48 \ months[/tex]

Number of months in 4 year of college = 48 months

Now we can say that;

weight after 4 years college can be calculated by sum of Weight at the start of the college and Weight gain per month multiplied by Number of months in 4 year of college.

framing in equation form we get;

weight after 4 years college = [tex]160+0.25\times48 = 172 \ pounds[/tex]

Hence George will weigh 172 pounds after 4 years of college.

Now we need to find weight 10 years after college.

Now we know that;

1 year = 12 months

10 years = [tex]10\times12 =120 \ months[/tex]

Number of months in 10 year after college = 120 months

weight 10 years after college can be calculated by sum of weight after 4 years college and Weight gain per month multiplied by Number of months in 10 year after college.

framing in equation form we get;

weight 10 years after college = [tex]172+0.25\times120 = 202 \ pounds[/tex]

Hence George will weigh 202 pounds 10 years after college.

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