A Saint Bernard puppy weighs 21 1/2pounds at nine weeks old. After that, it gains 2/5 pounds perweek on average. How many weeks old must the puppy be if it weighs 25 1/10 pounds

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03-11-2022
Mathematics

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A Saint Bernard puppy weighs 21 1/2pounds at nine weeks old. After that, it gains 2/5 pounds perweek on average. How many weeks old must the puppy be if it weighs 25 1/10 pounds

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AdalisE347439 AdalisE347439 · Answer 1 · 2022-11-03T22:37:42+01:00

From the information available, the puppy weighs 21 1/2 pounds (or 21.5 pounds) at nine weeks old. We shall take this to be the initial value. Hence, we can deduce the following function that relates the weight to the age (in weeks).

[tex]f(x)=21\frac{1}{2}[/tex]

However,the puppy gains weight at the rate of 2/5 pounds per week.

Using the weight at nine weeks as the initial value as shown above, we would now have the function re-written as;

[tex]f(x)=21\frac{1}{2}+\frac{2}{5}x[/tex]

However, the weight currently is given as 25 1/10 pounds, and we can insert this into the output of the function and then derive the input, as follows;

[tex]undefined[/tex]