Q23 Applications of linear functions Homework Unanswered Fill in the Blanks Type your answers in all of the blanks and submit The cost to renta truck from a local home improvement store is $19 for the first 75 minutes plus $0.33 for each minute over 75 minutes. Write a linear function that models the cost to rent a truck, where X is the number of minutes over 75 minutes. Then use your model to determine the cost to rent a truck for 2 hr. Do not round any values. a. What is the initial cost to rent the truck? $ Type your answer here b. The cost Type your answer here (increases or decreases) by $ Type your answer here for each minute over 75 minutes. C. A linear function that models the cost to rent the truck for X minutes over 75 minutes is f(x) = %3D Type your answer here x+ Type your answer here d. The cost to rent the truck for 2 hours is f( Type your answer here ) = Type youranswer here
Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.
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