# Answer to Question #7359 in Calculus for molly

Question #7359

if C(50)=4600 and Cprime(50)=28 estimate C(55)

Expert's answer

Use the formula:

C(x+t) ~ C(x) + t C'(x)

We have that

x =

50

t = 5

C(x) = 4600

C'(x) = 28,

whence

C(55) = C(50+5) =

C(x+t) =

= C(50) + 5 * C'(50) =

= 4600 + 5 * 28

=

= 4600 + 140 =

= 4740

C(x+t) ~ C(x) + t C'(x)

We have that

x =

50

t = 5

C(x) = 4600

C'(x) = 28,

whence

C(55) = C(50+5) =

C(x+t) =

= C(50) + 5 * C'(50) =

= 4600 + 5 * 28

=

= 4600 + 140 =

= 4740

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