OpenRevise

Flashcards · Maths · Graphs

Real-Life Graphs

16 cards

  1. What does the gradient of a conversion graph show?

    The number of units on the vertical axis for each unit on the horizontal axis.

  2. How do you use a conversion graph?

    Go from the value you know to the line, then across or down to the other axis.

  3. Why does a conversion line start at the origin?

    Zero in one unit is zero in the other.

  4. What does the intercept of a cost graph mean?

    The fixed charge, the cost for none of the quantity.

  5. What does the gradient of a cost graph mean?

    The cost for each extra unit.

  6. A taxi costs £3 plus £2 per km. What is the equation for the cost \(C\) of \(d\) km?

    \(C = 2d + 3\).

  7. What does a steep part of a depth-time graph show?

    The depth is rising quickly.

  8. Which container's graph gets steeper as it fills?

    One that gets narrower towards the top.

  9. What does the gradient of a velocity-time graph show?

    Acceleration.

  10. What does the area under a velocity-time graph show?

    Distance travelled.

  11. What does a horizontal line on a velocity-time graph mean?

    Constant velocity, so no acceleration.

  12. What does a downward slope on a velocity-time graph mean?

    Deceleration, or negative acceleration.

  13. What are the units of acceleration?

    \(\text{m/s}^2\).

  14. Find the acceleration when velocity goes from 0 to 12 m/s in 4 seconds.

    \(\dfrac{12}{4} = 3\) m/s\(^2\).

  15. How do you estimate the gradient at a point on a curve (Higher tier)?

    Draw a tangent at the point and find its gradient.

  16. How do you estimate the area under a curve (Higher tier)?

    Split it into trapezia or rectangles and add their areas.