A linear model estimates that a cat's weight was \( 4 \) ounces when it was born and \( 76 \) ounces \( 150 \) days after it was born. Which function defines this model where \( f ( x ) \) is the cat's weight, in ounces, \( x \) days after it was born, for \( 0 \leq x \leq 150 \)
A) \( f ( x ) = 0.48 x \)
B) \( f ( x ) = 2.08 x \)
C) \( f ( x ) = 0.48 x + 4 \)
D) \( f ( x ) = 2.08 x + 4\)
C
Determine the following limits. If infinite, specify \( \infty \) or \( - \infty \) . If an answer does not exist, explain why. (NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED) b. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
9. A board game company models the profit on its latest board game using the quadratic relation
\( P = - 2 x ^ { 2 } + 28 x - 90 , \) where \( x \) is the number of games it produces in hundred thousands and \( P \) is the profit in millions of dollars.
a) What are the break-even points for the company?
b) What is the maximum profit that the company can earn?
