A log splitter can split 6/5 cords of wood in 4/5 of an hour. Complete the unit rate by setting up a complex fraction and simpli
1 answer:
Answer:
1½ cords per hour
Step-by-step explanation:
A log splitter can split 6/5 cords of wood in 4/5 of an hour.
To find a unit rate, we divide the quantity of cords of wood by the time.
This gives us the complex fraction.
This is the same as
To divide two fractions, we multiply by the reciprocal of the second fraction.
This simplifies to:
The unit rate is 1.5 cords per hour
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Answer:
General equation of line : --1
Where m is the slope or unit rate
Table 1)
p d
1 3
2 6
4 12
d = Number of dollars (i.e.y axis)
p = number of pound(i.e. x axis)
First find the slope
First calculate the slope of given points
---A
Substitute values in A
Thus the unit rate is 3 dollars per pound.
So, It matches the box 1 (Refer the attached figure)
Equation 1 :
Since p is the x coordinate and d is the y coordinate
On Comparing with 1
Thus the unit rate is dollars per pound
So, It matches the box 2 (Refer the attached figure)
Equation 2 :
Since p is the x coordinate and d is the y coordinate
On Comparing with 1
Thus the unit rate is 9 dollars per pound
So, It matches the box 3 (Refer the attached figure)
Table 2)
p d
1/9 1
1 9
2 18
d = Number of dollars (i.e.y axis)
p = number of pound(i.e. x axis)
Substitute values in A
Thus the unit rate is 9 dollars per pound
So, It matches the box 3 (Refer the attached figure)
