8. Rachel's costs for automobile maintenance and fuel are shown in the table below. Cost of Automobile Ownership Average cost 5 cents per mile 14 cents per mnile Type of cost maintenance fuel In addition to fuel and maintenance, Rachel pays $1,000 a year for insurance. The equation C = (0.05 + 0.14)x + 1,000 shows the cost C, in dollars, of owning and operating the car for a year as a function of x, the number of miles driven in a year. What does the slope of the graph of this function represent? A) The cost of insurance for a year B) The cost of fuel and insurance for a year C) The cost of owning and operating per mile D) The cost of maintenance and fuel per mile

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.