Use the number line below to solve the problems.
1 answer:
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There are two separate equations for this question that use the same variable.
Mary took 7 hours to complete a trip with traffic. This would use the following expression:
Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:
Both trips had the same distance. From the information provided, we can set up the following equation:
x represents the average rate of speed on both trips.
Distribute 4 to each term in parentheses:
Subtract 4x from both sides:
Divide both sides by 3 to get x by itself:
The average speed for the slower trip is 36 mph.
We can plug this value into the first equation:
Mary lives 252 miles away from the mountains.
Mary took 7 hours to complete a trip with traffic. This would use the following expression:
Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:
Both trips had the same distance. From the information provided, we can set up the following equation:
x represents the average rate of speed on both trips.
Distribute 4 to each term in parentheses:
Subtract 4x from both sides:
Divide both sides by 3 to get x by itself:
The average speed for the slower trip is 36 mph.
We can plug this value into the first equation:
Mary lives 252 miles away from the mountains.
Answer:
Q. Find the range and coefficient of range of the data :
- 100 , 200 , 400 , 600 , 900
⇾ Solution :
- largest value ( L ) = 900 & smallest value ( S ) = 100
We know , Range is the difference between the largest and smallest value. By definition ,
1. Range = Largest value - Lowest value = 900 - 100 =
2. Coefficient of range =
Q. If f ( x ) = 9x - 8x and x belong to { 0 , 4 , 3 ,5 }. Find the range.
⇾ Solution:
When x = 0 , f ( 0 ) = 9 × 0 - 8 × 0 = 0
When x = 4 , f ( 4 ) = 9 × 4 - 8× 4 = 4
When x = 3 , f ( 3 ) = 9 × 3 - 8 × 3 = 3
When x = 5 , f ( 5 ) = 9 × 5 - 8 × 5 = 5
- Range = { 0 , 4 , 3 , 5 )
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