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anonymous

  • one year ago

Which equation represents a linear function? Equation 1: y = 2x2 + 1 Equation 2: y2 = 8x + 1 Equation 3: y = 5x3 – 1 Equation 4: y = 7x – 1 Equation 1 Equation 2 Equation 3 Equation 4

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  1. anonymous
    • one year ago
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    the numbers after the variables are exponents

  2. anonymous
    • one year ago
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    linear functions don't have exponents. Which is that?

  3. anonymous
    • one year ago
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    equation 4

  4. anonymous
    • one year ago
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    i have more questions

  5. anonymous
    • one year ago
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    Brian and Cyril spend a certain amount of money from their money box each month to buy plants. The table shows the relationship between the amount of money (y) remaining in Brian's money box and the number of months (x): Function 1: Number of Months (x) Amount Remaining (dollars) (y) 1 65 2 59 3 53 4 47 The equation shows the relationship between the amount of money, y, remaining in Cyril's money box and the number of months, x. Function 2: y = –8x + 65 Which statement explains which function shows a greater rate of change? Function 2 shows a greater rate of change, because Cyril spends $8 each month and Brian spends $6 each month. Function 2 shows a greater rate of change, because Cyril spends $65 each month and Brian spends $18 each month. Function 1 shows a greater rate of change, because Brian spends $18 each month and Cyril spends $57 each month. Function 1 shows a greater rate of change, because Brian spends $6 each month and Cyril spends –$8 each month.

  6. anonymous
    • one year ago
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    @peachpi

  7. anonymous
    • one year ago
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    use the slope formula to find the rate of change for function 1 \[m=\frac{ y_2-y_1 }{ x_2-x_1}\] Pick any two points to plug in

  8. anonymous
    • one year ago
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    1 and 65

  9. anonymous
    • one year ago
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    you can use 1 for x_1 and 65 for y_1. Now pick another point for x_2 and y_2.

  10. anonymous
    • one year ago
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    Then plug them into the formula

  11. anonymous
    • one year ago
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    i dont understand

  12. anonymous
    • one year ago
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    @perl

  13. anonymous
    • one year ago
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    Each pair of numbers in that table represent a point on a line. They're asking you to find the slope of the line that has the points (1, 65), (2, 59), (3, 53), and (4, 47). Does that make sense?

  14. anonymous
    • one year ago
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    yes

  15. anonymous
    • one year ago
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    function 2 has a rate of change of 8, am i right?

  16. anonymous
    • one year ago
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    -8

  17. anonymous
    • one year ago
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    but the change is by 8, negative or not

  18. anonymous
    • one year ago
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    Do you understand how to get the rate of change for function 1?

  19. anonymous
    • one year ago
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    no

  20. anonymous
    • one year ago
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    not really. the direction matters. ROC of 8 means the function is increasing. ROC of -8 means it's decreasing

  21. anonymous
    • one year ago
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    btw these are the answer choices: A: Function 2 shows a greater rate of change, because Cyril spends $8 each month and Brian spends $6 each month. B: Function 2 shows a greater rate of change, because Cyril spends $65 each month and Brian spends $18 each month. C: Function 1 shows a greater rate of change, because Brian spends $18 each month and Cyril spends $57 each month. D: Function 1 shows a greater rate of change, because Brian spends $6 each month and Cyril spends –$8 each month.

  22. anonymous
    • one year ago
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    For function 1 let's just consider the 2 points (1, 65) and (2, 59). This is how you put them into the slope equation |dw:1435794971386:dw|

  23. anonymous
    • one year ago
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    i no the slope equation is y=mx+b

  24. anonymous
    • one year ago
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    by slope equation, I meant the equation you use to find the slope of a line. y = mx + b is the slope-intercept form of a linear function. It uses the slope, but sometimes, like in function 1, you don't have an equation in that format. So you have to find the slope using points and the equation above.

  25. anonymous
    • one year ago
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    and i no that the answer is either A or D

  26. anonymous
    • one year ago
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    can u tell me if its either A or D cause i gotta go soon

  27. anonymous
    • one year ago
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    RE: D. Does spending -$8 a month make sense?

  28. anonymous
    • one year ago
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    i guess not

  29. anonymous
    • one year ago
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    so its A?

  30. anonymous
    • one year ago
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    yes

  31. anonymous
    • one year ago
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    Thank you so much

  32. anonymous
    • one year ago
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    np

  33. anonymous
    • one year ago
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    well i gotto go so bye

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