For small changes in temperature, the formula for the expansion of a metal rod under a change in temperature is: g-L=al(t-T), where g is the length of the object at temperature t, and L is the length at temperature T, and a is a constant which depends on the type of metal. 1. Express g as a linear function of t. Find the slope and vertical intercept in terms of L, T, and a. Slope=, Intercept= 2. A rod is 240 cm long at 140 degrees F and made of a metal with a=10^(-8). Write an equation giving the length of this rod at temperature t (because a=10^(-8) is very small, give an exact answer: do not round expand multiplied numerical products to get rounded decimals). g= cm

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.10: Inverse Variation
Problem 5MRE
Question
For small changes in temperature, the formula for the expansion of a metal rod under a change
in temperature is:
g-L=al(t-T),
where g is the length of the object at temperature t, and L is the length at temperature T, and a
is a constant which depends on the type of metal.
1. Express g as a linear function of t. Find the slope and vertical intercept in terms of L, T,
and a.
Slope=,
Intercept=
2. A rod is 240 cm long at 140 degrees F and made of a metal with a=10^(-8). Write an
equation giving the length of this rod at temperature t (because a=10^(-8) is very small,
give an exact answer: do not round expand multiplied numerical products to get rounded
decimals).
g=
cm
Transcribed Image Text:For small changes in temperature, the formula for the expansion of a metal rod under a change in temperature is: g-L=al(t-T), where g is the length of the object at temperature t, and L is the length at temperature T, and a is a constant which depends on the type of metal. 1. Express g as a linear function of t. Find the slope and vertical intercept in terms of L, T, and a. Slope=, Intercept= 2. A rod is 240 cm long at 140 degrees F and made of a metal with a=10^(-8). Write an equation giving the length of this rod at temperature t (because a=10^(-8) is very small, give an exact answer: do not round expand multiplied numerical products to get rounded decimals). g= cm
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