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CAHSEE practice: Problems 23-27 | CAHSEE | Khan Academy

December 4, 2009
by
Khan Academy
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CAHSEE practice: Problems 23-27 | CAHSEE | Khan Academy

TL;DR

Mario drives 1,500 miles every month, the temperature drops at a rate of -3.5 degrees per hour, and Brad bought 12 packs of paper for a total cost of $13.20.

Transcript

Problem 23. Mario drives 1,500 miles every month. Which line plot correctly represents Mario's total miles driven over a period of 6 months? So it's 1,500 miles every month. So this is per month. So every month-- after 1 month he should drive 1,500 hundred miles, and that looks pretty good there. So after another month, it should be another 1,500. ... Read More

Key Insights

  • 😀 Mario drives a consistent distance of 1,500 miles every month.
  • ☠️ The temperature on a mountain peak dropped at a rate of -3.5 degrees per hour.
  • 🎒 Brad bought 12 packs of paper, spending a total of $13.20.

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Questions & Answers

Q: Which line plot represents Mario's total miles driven correctly?

The correct line plot is choice A, where the total miles driven increases by 1,500 every month.

Q: What is the best estimate of the temperature at 11:00 PM if it dropped at a rate of -3.5 degrees per hour from 8:00 PM, starting at 0 degrees Fahrenheit?

The best estimate is -10 degrees Fahrenheit, as the temperature dropped 10.5 degrees from the starting point of 0 degrees Fahrenheit.

Q: How many packs of paper did Brad buy if his total cost was $13.20, including a $6 binder and paper packs costing $0.60 each?

Brad bought 12 packs of paper, as solving the equation 6 + 0.60p = 13.20 gives p = 12.

Q: What is the equation of the given graph with a slope of 1 and a y-intercept of 3?

The equation of the graph is y = x + 3, as it has a slope of 1 and intersects the y-axis at 3.

Summary & Key Takeaways

  • Problem 23: Mario drives 1,500 miles every month and the correct line plot representing his total miles driven over 6 months is choice A, where the total miles driven increases by 1,500 each month.

  • Problem 24: The temperature on a mountain peak dropped from 7 degrees Fahrenheit to 0 degrees Fahrenheit in 2 hours, with a rate of -3.5 degrees per hour. The best estimate of the temperature at 11:00 PM is -10 degrees Fahrenheit.

  • Problem 25: Brad bought a $6 binder and several packs of paper costing $0.60 each. The total cost was $13.20, and Brad bought 12 packs of paper.

  • Problem 27: The equation of the graph shown is y = x + 3, with a slope of 1 and a y-intercept of 3.


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