91Ó°ÊÓ

Find the variation constant and the corresponding equation for each situation. Let \(y\) vary inversely as \(x,\) and \(y=5\) when \(x=2\)

Find the point of intersection for each pair of lines algebraically. $$y=-\frac{2}{5} x+3 ; y=\frac{5}{2} x+4$$

In this set of exercises you will use linear functions and variation to study real-world problems. If \(0^{\circ}\) Celsius corresponds to \(32^{\circ}\) Fahrenheit and \(100^{\circ}\) Celsius corresponds to \(212^{\circ}\) Fahrenheit, find a linear function that converts a Celsius temperature to a Fahrenheit temperature.

Evaluate \(g(-x), g(2 x),\) and \(g(a+h)\). $$g(x)=x^{2}+6 x-1$$

Determine whether a function is being described. The length of a side of a square is the input variable and the perimeter of the square is the output variable.

In this set of exercises you will use linear functions and variation to study real-world problems. Demand It is known that 10,000 units of a computer chip are demanded at \(\$ 50\) per chip. How many units are demanded at \(\$ 60\) per chip if price varies inversely as the number of chips?

In this set of exercises you will use linear functions and variation to study real-world problems. A 10 -foot U-Haul truck for in-town use rents for \(\$ 19.95\) per day plus \(\$ 0.99\) per mile. You are planning to rent the truck for just one day. (Source:www.uhaul.com) (a) Write the total cost of rental as a linear function of the number of miles driven. (b) Give the slope and \(y\) -intercept of the graph of this function and explain their significance. (c) How much will it cost to rent the truck if you drive a total of 56 miles?

\(f(x)=5[[x]]-2\) (Hint: The greatest integer function is found under the option INT in a graphing calculator.)

Solve the inequality. Express your answer in interval notation, and graph the solution set on the number line. $$|2 x| > 8$$

Solve the inequality. Express your answer in interval notation, and graph the solution set on the number line. $$|x+3| \leq 4$$