(a)
To write: an inequality to find the amount by which she needs to increase her daily run to have enough endurance to finish a marathon.
(a)
Answer to Problem 41PPS
The inequality to find the amount by which she needs to increase her daily run to have enough endurance to finish a marathon is,
Explanation of Solution
Given information:
J wants to be able to run at least the standard marathon distance of 26.2 miles. A good rule for training is that runners generally have enough endurance to finish a race that is up to 3 times his or her average daily distance.
Calculation:
Let, J needs to increase her daily run by
The length of her current daily run is 5 miles is
A race that is up to 3 times his or her average daily distance is
The standard marathon distance is 26.2 miles.
So, the inequality to find the amount by which she needs to increase her daily run to have enough endurance to finish a marathon is,
(b)
To solve: the inequality and interpret the solution.
(b)
Answer to Problem 41PPS
She has increase her daily run by 3.73 miles.
Explanation of Solution
Given information:
J wants to be able to run at least the standard marathon distance of 26.2 miles. A good rule for training is that runners generally have enough endurance to finish a race that is up to 3 times his or her average daily distance.
Calculation:
Consider the inequality
Now, solve the inequality as shown
So, she has increase her daily run by 3.73 miles.
Chapter 1 Solutions
Glencoe Algebra 2 Student Edition C2014
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