Question

Question 1 A)A graph of the function y=80x+2 models Carli’s road trip, with her speed measured in miles per hour. The graph includes the two hours of stops she’ll make. Using this information, define which quantity describes the x-axis.(1 point) Responses direction traveled direction traveled time in hours time in hours speed traveled speed traveled miles traveled miles traveled Question 2 A) Use the image to answer the question. The graph models the descent of a hot air balloon in feet per minute. What does the y-intercept tell you in this situation? (1 point) Responses The balloon takes 0 minutes to descend 600 feet. The balloon takes 0 minutes to descend 600 feet. The balloon starts its descent at 600 feet. The balloon starts its descent at 600 feet. It will take the balloon 600 minutes to descend. It will take the balloon 600 minutes to descend. The balloon rises 600 feet. The balloon rises 600 feet. Question 3 A)A rental truck company charges $25 to rent a truck, then $1.25 for every mile it is driven. The situation can be expressed as C=1.25m+25, where C is the total cost to rent the truck and m is the miles driven. If you plot points on the linear function, which of the following would appear?(1 point) Responses (2,22.5) and (4,20) left parenthesis 2,22.5 right parenthesis and left parenthesis 4 comma 20 right parenthesis (4,30) and (8,35) left parenthesis 4 comma 30 right parenthesis and left parenthesis 8 comma 35 right parenthesis (30,4) and (35,8) left parenthesis 30 comma 4 right parenthesis and left parenthesis 35 comma 8 right parenthesis (2,2.5) and (4,5) left parenthesis 2 comma 2.5 right parenthesis and left parenthesis 4 comma 5 right parenthesis Question 4 A) Use the image to answer the question. A hot air balloon climbs into the air at a steady rate per minute. The graph illustrates the hot air balloon’s ascent. Interpret the slope of the graph. (1 point) Responses The balloon will be at 200 feet when it is launched. The balloon will be at 200 feet when it is launched. For every four minutes that pass, the balloon rises 200 feet. For every four minutes that pass, the balloon rises 200 feet. For every four minutes that pass, the balloon rises 400 feet. For every four minutes that pass, the balloon rises 400 feet. For every 2 minutes, the balloon rises 400 feet. For every 2 minutes, the balloon rises 400 feet. Question 5 A) Use the image to answer the question. Barton took out a car loan of $2,625. He makes monthly payments of $175. The graph represents the remaining balance after each payment. Which example models the correct slope? (1 point) Responses m=9−81,050−1,225 m equals Start Fraction 9 minus 8 over 1,050 minus 1,225 End Fraction m=2,450−2,6250−1 m equals Start Fraction 2,450 minus 2,625 over 0 minus 1 End Fraction m=525−70011−12 m equals Start Fraction 525 minus 700 over 11 minus 12 End Fraction m=1,050−1,2259−8 m equals Start Fraction 1,050 minus 1,225 over 9 minus 8 End Fraction

Answers

Answered by GPT-4o mini
Here are the answers to the questions provided:

### Question 1 A
**Which quantity describes the x-axis?**
**Answer:** time in hours

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### Question 2 A
**What does the y-intercept tell you in this situation?**
**Answer:** The balloon starts its descent at 600 feet.

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### Question 3 A
**Which of the following points would appear in the linear function?**
**Answer:** (4,30) and (8,35)

**Explanation:**
1. The cost when 4 miles are driven:
\( C = 1.25(4) + 25 = 5 + 25 = 30 \)

2. The cost when 8 miles are driven:
\( C = 1.25(8) + 25 = 10 + 25 = 35 \)

Thus, (4,30) and (8,35) are points on the line.

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### Question 4 A
**Interpret the slope of the graph.**
**Answer:** For every 4 minutes that pass, the balloon rises 200 feet.

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### Question 5 A
**Which example models the correct slope?**
**Answer:** \( m = \frac{1,050 - 1,225}{9 - 8} \)

**Explanation:**
This slope represents the change in balance after 1 payment (from 1,225 to 1,050) over the period of 1 month.

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If you have any more questions or need further clarification, feel free to ask!

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