Problem 55
\(y\) varies directly with \(x\). If \(x\) is doubled, what happens to \(y ?\)
Problem 56
Find the slope and the intercepts of each line. $$ y=0.4-0.8 x $$
Problem 56
Graph each function by translating its parent function. $$ f(x)=|x+6| $$
Problem 56
The graph of \(y=|x-1|\) is translated 3 units left and 2 units down. What is the equation of the new graph? A. \(y=|x+2|-2\) B. \(y=|x-4|-2\) C. \(y=|x+4|+2\) D. \(y=|x-4|+2\)
Problem 59
Graph each function by translating its parent function. $$ y=|x-1|+5 $$
Problem 65
Is the total surface area \(S\) of a cube a function of the edge \(c\) of the cube? If it is not a function, explain why not. If it is a function, write the function rule and then evaluate the function for a cube with edge 2.5 \(\mathrm{cm} .\)
Problem 68
Commissions The amount of a commission is directly proportional to the amount of a sale. A realtor received a commission of \(\$ 13,500\) on the sale of a \(\$ 225,000\) house. How much would the commission be on a \(\$ 130,000\) house?
Problem 69
Graph each pair of equations on the same coordinate plane. $$ y=x, y=-x+5 $$
Problem 69
Graph each set of data. Decide whether a linear model is reasonable. If so, draw a trend line and write its equation. $$ \\{(-5,6),(-1,4),(0,5),(3,8),(4,7)\\} $$
Problem 71
Graph each relation. Find the domain and range. \(\\{(1,-2),(2,-1),(4,1),(5,2)\\}\)