short response
1. a group of mountain climbers started the day at an elevation of 125 feet below sea level. at the end of the day, they camped at 5,348 feet above sea level. what was the climbers elevation gain for the day?
answer

2. what is the difference in elevation between a city 2,028 feet above sea level and the dead sea, which is 1,312 feet below sea level?
answer

3. after it stopped snowing, the height of the snow on cherry street was 10 cm. the snow was melting at a rate of $\frac{1}{3}$ cm per hour. what is the height of the snow on cherry street after 2 hours?
answer

4. yesterdays lowest temperature in a town was $-2.5^{\circ}\text{c}$. todays lowest temperature is 5 times as low as yesterdays lowest temperature. what is the lowest temperature in this town today?
answer

5. the sum of two consecutive integers is $-15$. if 1 is added to the smaller integer and 2 is subtracted from the larger integer, what is the product of the two resulting integers?
answer

Question

short response
1. a group of mountain climbers started the day at an elevation of 125 feet below sea level. at the end of the day, they camped at 5,348 feet above sea level. what was the climbers elevation gain for the day?
answer

2. what is the difference in elevation between a city 2,028 feet above sea level and the dead sea, which is 1,312 feet below sea level?
answer

3. after it stopped snowing, the height of the snow on cherry street was 10 cm. the snow was melting at a rate of $\frac{1}{3}$ cm per hour. what is the height of the snow on cherry street after 2 hours?
answer

4. yesterdays lowest temperature in a town was $-2.5^{\circ}\text{c}$. todays lowest temperature is 5 times as low as yesterdays lowest temperature. what is the lowest temperature in this town today?
answer

5. the sum of two consecutive integers is $-15$. if 1 is added to the smaller integer and 2 is subtracted from the larger integer, what is the product of the two resulting integers?
answer

Accepted Answer

{ "quality": "clear", "question_count": 5, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Decay", "Rate of Change", "Fractional Subtraction", "Negative Number Multiplication", "Consecutive Integers Word Problems" ], "new_concepts": [ "Elevation Difference", "Integer Word Problems" ], "current_concepts": [ "Elevation Difference", "Linear Decay", "Rate of Change", "Fractional Subtraction", "Negative Number Multiplication", "Consecutive Integers Word Problems" ] } ## Question 1: Elevation gain calculation $$ \begin{aligned} &\text{Initial Elevation} = -125\text{ ft}\ &\text{Final Elevation} = 5348\text{ ft}\ &\text{Elevation Gain} = 5348 - (-125) = 5348 + 125 = 5473\text{ ft} \end{aligned} $$ ## Question 2: Difference in elevation $$ \begin{aligned} &\text{City Elevation} = 2028\text{ ft}\ &\text{Dead Sea Elevation} = -1312\text{ ft}\ &\text{Difference} = 2028 - (-1312) = 2028 + 1312 = 3340\text{ ft} \end{aligned} $$ ## Question 3: Snow height after melting $$ \begin{aligned} &\text{Initial Height} = 10\text{ cm}\ &\text{Melting Rate} = \frac{1}{3}\text{ cm/hour}\ &\text{Height after 2 hours} = 10 - 2 \times \frac{1}{3} = 10 - \frac{2}{3} = 9\frac{1}{3}\text{ cm} \end{aligned} $$ ## Question 4: Today's lowest temperature $$ \begin{aligned} &\text{Yesterday's Temperature} = -2.5^\circ\text{C}\ &\text{Today's Temperature} = 5 \times (-2.5^\circ\text{C}) = -12.5^\circ\text{C} \end{aligned} $$ ## Question 5: Product of modified consecutive integers $$ \begin{aligned} &x + (x + 1) = -15 \implies 2x + 1 = -15 \implies 2x = -16 \implies x = -8\ &\text{Integers: } -8\text{ and } -7\ &\text{Modified Integers: } (-8 + 1) = -7\text{ and } (-7 - 2) = -9\ &\text{Product} = (-7) \times (-9) = 63 \end{aligned} $$ ## Question 1 $5473\text{ feet}$ ## Question 2 $3340\text{ feet}$ ## Question 3 $9\frac{1}{3}\text{ cm}$ ## Question 4 $-12.5^\circ\text{C}$ ## Question 5 $63$ { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Consecutive Integers Word Problems" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Question 1: Elevation gain calculation

Question 2: Difference in elevation

Question 3: Snow height after melting

Question 4: Today's lowest temperature

Question 5: Product of modified consecutive integers

Answer:

Question 1

Question 2

Question 3

Question 4

Question 5