5. Daniel wants to predict how far he can hike based on the time he spends on the hike. A line has been fit to the data to model the relationship. Which of the equations best describes the given model?
A) \( y = 2 x + 1.5 \)
B) \( y = x + 1.5 \)
C) \( y = 2 x - 1.5 \)
D) \( y = x - 1.5\)
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?
