Let x represent the distance Triana travels on each of the remaining three days.
On the second day she will travel x miles.
On the third day she will travel x miles.
On the fourth day she will travel x miles.
The total distance Triana will travel is given by the equation:
24 + x + x + x = 120
Simplifying the equation, we get:
24 + 3x = 120
Subtracting 24 from both sides, we get:
3x = 96
Dividing both sides by 3, we get:
x = 32
Therefore, Triana will travel 32 miles on each of the remaining three days.
Explanation: The equation is set up by taking the initial distance Triana travels on the first day (24 miles) and adding that to the combined distance she will travel on the remaining three days (3x). The equation is then set equal to the total distance of the bike ride (120 miles). By solving for x, we find that x = 32, indicating that Triana will travel 32 miles on each of the remaining three days.
Question
Triana is on a 120-mile four-day bike ride. On the first day she travels 24 miles. She would like to travel equal amounts over the remaining three days. How far will she travel on each of those three days? Write and solve an equation of the form px+q=r. Then write a sentence to explain your answer.(4 points)
Math Short Answer Rubric (4 points)
Points Awarded Criteria
4
The answer is clear and correct.
The answer shows that the student used problem-solving skills and reasoning.
All work is shown or explained.
3
The answer is mostly correct. The student made small errors while solving.
The answer shows that the student used some problem-solving skills and reasoning.
Most work is shown or explained.
2
The answer is partially correct. The student made errors while solving.
The answer shows that the student used some problem-solving skills or reasoning.
Some work is shown or explained.
1
The answer is incorrect. The student made errors while solving.
The answer shows little problem-solving skills or reasoning.
Little or no work is shown.
0 The question is not answered.
1 answer