Question

1 kilogram (kg) is about 2.2 times as heavy as 1 pound (lb). Suppose the function f determines Chase's weight (in lbs), f(t) , given the number of days t since the beginning of 2017. The function g determines Chase's weight (in kg), g(t) , given the number of days t since the beginning of 2017. Suppose f(37)=193.a. What is the value of g(37)?b. Write a formula for g using the function f

Answer 1

a) 87.7

b) g(t) = f(t)/2.2

Explanation:

The number of pounds is 2.2 times the number of kilograms, so we have ...

f(t) = 2.2·g(t)

a) On day 37, Chase's weight in kg is ...

f(37) = 2.2g(37)

193 = 2.2g(37)

g(37) = 193/2.2

g(37) ≈ 87.7

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b) Rearranging the equation we started with, we have ...

g(t) = f(t)/2.2