Jill, Cathy, and Sandy were in line for a roller coaster ride. How many ways could they be seated if the ride held 3 people in
1 answer:
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Answer:
96 seconds
Step-by-step explanation:
In order to find how long it will take to empty the bucket, you must multiply the number of gallons by the reciprocal of the fraction.
1. Reciprocal of is
which is 3
2. multiply 32 by 3 to get your answer, 96.
I hope this helped!
See the attached image to see how all of the answers fill out.
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Problem 6a
The slope of line A is -1/1 or just -1
The reason why is because we start at (0,3) and move down 1 and over to the right 1 to get to the next point (1,2). Alternatively you can use the slope formula m = (y2-y1)/(x2-x1) to get the same result.
Since the slope of line A is -1, this means that we'll write "-1" in the first row of the "constant rate of change" column.
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The two points (0,2) and (1,3) are on the line B
Use the slope formula to get
m = (y2-y1)/(x2-x1)
m = (3-2)/(1-0)
m = 1/1
m = 1
The slope of line B is 1. Write "1" in the second row of the "constant rate of change" column.
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The points (0,-4) and (1,-2) are on line C
Slope:
m = (y2-y1)/(x2-x1)
m = (-2-(-4))/(1-0)
m = (-2+4)/(1-0)
m = 2/1
m = 2
The slope of line C is 2, which is written in the last row of the "constant rate of change" column.
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Now onto the y intercept column.
Line A crosses the y intercept at the point (0,3) or simply 3 on the y axis. So we'll have 3 in the first row.
Write 2 in the next row under the "3" to indicate that the y intercept of line B is 2. The black line B crosses the y axis at 2 on the vertical number line.
Similarly, the y intercept for line C is -4. This red line crosses the vertical y axis at -4
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Now onto the x intercept
The x intercept of line A is 3. This is where the blue line crosses the horizontal x axis.
The x intercept of line B is -2. This is where the black line crosses the horizontal x axis.
The x intercept of line C is 2. This is where the red line crosses the horizontal x axis.
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Problem 6b
Equation D: y = 2+x
is the same as
y = x+2
The slope here is 1 (since y = x+2 is the same as y = 1x+2) and the y intercept is 2.
The fact that
Slope = 1
and
y intercept = 2
means we have a match with line B
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The equation y = -4+2x is the same as y = 2x-4
Slope = 2
y intercept = -4
this matches with line C
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y = 3-x is the same as y = -x+3
which can be written as y = -1x+3
Slope = -1
y intercept = 3
This matches with line A
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See the attached image to see how all of the answers fill out.
