2. Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?

3. Find the slope of the line through the points ( 5, -5) and ( 6, -1)

4. Kafka Inc. imports hard drives and sells them on the internet. The profit is given by the equation P = 140n - 8500, where n is the number of hard drives sold. Graph P = 140n - 8500 for n < 1000. Estimate the profit, to the nearest ten dollars, corresponding to the sale of 875 hard drives.

5. When $ 8500 is invested in a savings account paying simple interest for the year, the interest, i in dollars, can be obtained from the equation i = 8500r , where r is the rate of interest in decimal form. Graph i = 8500r , for r up to and including a rate of 16%. If the rate is 12%, how much interest is earned?

Expectations:
Differentiate between a function and a linear function.
Describe the mathematical equation of a standard linear function.
Describe how to compute the slope of a line.

Solution Summary

This solution clearly describes the mathematical equation of a standard linear function.

Exercises on Functions: Evaluating Linear Functions. 1. Evaluate the function f(x) = 4x + 6 for x=4. 2. Evaluate the function f(x) = 9x - 6 for x=0. ...

Evaluating Functions and Systems of Linear Equations and Inequalities. ...Evaluating Functions and Systems of Linear Equations and Inequalities are investigated. ...

In three sentences or less, describe how we evaluate a function. A brief definition of a straight line graph is a linear function of the form y = mx + c, where ...

... of values from parts 1 and 2 graph both functions. ... the profits of each company and evaluate their claims ... Which model seems more realistic, the linear or radical ...

... Graphical approach is used to solve linear programming problems for optimization using method of corners. ... Then the objective function is evaluated for each ...

... 2. Evaluate the function f(x) = 9x - 6 for x=0. 3. Take a look at the following table: ... a. Write out an equation for f(x). Assume the function is linear. ...

... The solution works on examples of solving linear equatoins, system of linear equations, inequality, and word problems. ...Evaluate the expression: -(2 3)4. ...

... when a linear equation is not a function? Support your answer. Create an equation of a nonlinear function and provide two inputs for someone to evaluate. ...