>= means greater than or equal to
<= means less than or equal to
^ means the number is squared
Some questions require you to graph equations. No graphs will be given.
Currently a work in progress. I will update answers as the break continues.
Work is shown first. Then the answer is at the bottom.
The amount of water w (in thousands of gallons) flowing over a dams spillway varies directly with time t (in hours). In four hours, six thousand gallons of water flow over the spillway. Write a direct variation equation that related w and t. How many gallons of water will be released in twelve hours?
w = at 6 = 4a 3/2 = a w = 3/2(12) w = 18 w = 3/2t; 18 thousand gallons
Write an equation in slope-intercept form that passes through the point (-1, 3) and has a slope of 2.
3 = 2(-1) + b 3 = -2 + b 5 = b y = 2x + 5
Write an equation in slope-intercept form that passes through the point (4, -3) and has a slope of 3/4.
-3 = 3/4(4) +b -3 = 3 + b -6 = b y = 3/4x - 6
Write an equation in slope-intercept form that passes through the point (2, -7) and has a slope of -5.
-7 = -5(2) +b -7 = -10 + b 3 = b y = -5x + 3
Write an equation in standard form of the line that passes through the point (3, -7) and has a slope of -7.
y + 7 = -7(x - 3) y + 7 = -7x + 21 y = -7x + 14 7x + y = 14
Make a scatter plot using the points (0, 7), (2, 16), (4, 25), (6, 38), and (8, 50). Describe the correlation of the data.