Concept explainers
a.
The expression that represent the total time spend rowing.
a.
Answer to Problem 44PPE
Explanation of Solution
Given information:
A rowing team practices rowing 2 mi upstream and 2 mi downstream. The team can row downstream 25% faster than they can row upstream.
Concept used:
The formula for the distance traveled is
Calculation:
Let the team’s rate rowing upstream be u . Then the rate at which the team can row downstream would be
Now in order to find the expression that represents the total time, use the time-distance formula with the given values as shown below
Thus, the expression for total time is
b.
The expression that represent the total time spend rowing.
b.
Answer to Problem 44PPE
Explanation of Solution
Given information:
A rowing team practices rowing 2 mi upstream and 2 mi downstream. The team can row downstream 25% faster than they can row upstream.
Concept used:
The formula for the distance traveled is
Calculation:
Let the team’s rate rowing upstream be d . Then the rate at which the team can row downstream would be
Now in order to find the expression that represents the total time, use the time-distance formula with the given values as shown below
Thus, the expression for total time is
c.
Whether the expressions in (a) and (b) represent the same time.
c.
Answer to Problem 44PPE
Explanation of Solution
Given information:
A rowing team practices rowing 2 mi upstream and 2 mi downstream. The team can row downstream 25% faster than they can row upstream.
Concept used:
The formula for the distance traveled is
Calculation:
Only the variable changed to represent the rate at which the team’s row, so it doesn’t change anything in the total time spend in rowing.
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High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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