Problem 17
Graph the equation. Find the constant of variation and the slope of the direct variation model. $$y=0.4 x$$
Problem 18
Plot and label the ordered pairs in a coordinate plane. $$A(3,-5), B(1.5,3), C(-3,-1)$$
Problem 26
Without plotting the point, tell whether it is in Quadrant I, Quadrant II, Quadrant III, or Quadrant IV. $$(-5,6)$$
Problem 29
Solve the equation graphically. Check your solution algebraically. $$2 x-7=-5$$
Problem 33
Plot the points and find the slope of the line passing through the points. $$(2,2),(-3,5)$$
Problem 49
Use the concept of slope to decide whether the points \((-2,4),(2,-2),\) and \((6,0)\) are on the same line. Explain your reasoning and include a diagram.
Problem 56
A space shuttle achieves orbit at 9: 23 A.M. At 9: 31 A.M. it has traveled \(2,309.6\) miles in orbit. Find the rate of change in miles per minute.
Problem 57
snow fell for 9 hours at a rate of \(\frac{1}{2}\) inch per hour. Before the snowstorm began, there were already 6 inches of snow on the ground. The equation \(y=\frac{1}{2} x+6\) models the depth \(y\) of snow on the ground after \(x\) hours. CRITICAL THINKING Explain what the slope and the \(y\) -intercept mean in the snowstorm model.
Problem 58
snow fell for 9 hours at a rate of \(\frac{1}{2}\) inch per hour. Before the snowstorm began, there were already 6 inches of snow on the ground. The equation \(y=\frac{1}{2} x+6\) models the depth \(y\) of snow on the ground after \(x\) hours. Graph the amount of snow on the ground during the storm.
Problem 59
snow fell for 9 hours at a rate of \(\frac{1}{2}\) inch per hour. Before the snowstorm began, there were already 6 inches of snow on the ground. The equation \(y=\frac{1}{2} x+6\) models the depth \(y\) of snow on the ground after \(x\) hours. Writing In the Apple County School District, school is canceled if there is a foot or more of snow on the ground. If this 9-hour storm occurred in Apple County, would school be canceled? Explain your reasoning.