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.
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Let's assume that Triana travels the same distance each day after the first day. Let x represent the distance she travels on each of the remaining three days.
We know that on the first day, she travels 24 miles. So, the total distance she travels in four days can be represented as:
Total distance = 24 + x + x + x
Since the total distance is given as 120 miles, we can write the equation as:
24 + 3x = 120
To solve for x, we can subtract 24 from both sides of the equation:
3x = 120 - 24
3x = 96
Finally, we divide both sides of the equation by 3 to solve for x:
x = 96/3
x = 32
Therefore, Triana will travel 32 miles on each of the remaining three days.