Question

A quantity of insulin used to regulate sugar in the bloodstream breaks down by about 5% each minute. A body-weight adjusted dose is generally 10 units. (a) Write a function representing the amount of the dose that remains. (b) Graph the function. (c) About how much insulin remains after 10 minutes? . A)f(x) = 0.95(10)x; about 8 units.. B)f(x) = 10(0.95)x; about 8 units.. C)f(x) = 0.95(10)x; about 6 units.. D)f(x) = 10(0.95)x; about 6 units.

Answer 1

A ) A function representing the amount of the dose that remains:
$f ( x ) = 10 * 0.95^{x}$
B ) Graph is in the attachment.
C ) f ( 10 ) = 10 * ( 0.95 ) ^10 = 10 * 0.5987 = 5.987 ≈ 6
Answer:
D ) f ( x ) = 10 ( 0.95 ) x; about 6 units.

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