anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
the numbers after the variables are exponents
anonymous
  • anonymous
linear functions don't have exponents. Which is that?
anonymous
  • anonymous
equation 4

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anonymous
  • anonymous
i have more questions
anonymous
  • anonymous
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.
anonymous
  • anonymous
@peachpi
anonymous
  • anonymous
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
anonymous
  • anonymous
1 and 65
anonymous
  • anonymous
you can use 1 for x_1 and 65 for y_1. Now pick another point for x_2 and y_2.
anonymous
  • anonymous
Then plug them into the formula
anonymous
  • anonymous
i dont understand
anonymous
  • anonymous
@perl
anonymous
  • anonymous
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?
anonymous
  • anonymous
yes
anonymous
  • anonymous
function 2 has a rate of change of 8, am i right?
anonymous
  • anonymous
-8
anonymous
  • anonymous
but the change is by 8, negative or not
anonymous
  • anonymous
Do you understand how to get the rate of change for function 1?
anonymous
  • anonymous
no
anonymous
  • anonymous
not really. the direction matters. ROC of 8 means the function is increasing. ROC of -8 means it's decreasing
anonymous
  • anonymous
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.
anonymous
  • anonymous
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|
anonymous
  • anonymous
i no the slope equation is y=mx+b
anonymous
  • anonymous
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.
anonymous
  • anonymous
and i no that the answer is either A or D
anonymous
  • anonymous
can u tell me if its either A or D cause i gotta go soon
anonymous
  • anonymous
RE: D. Does spending -$8 a month make sense?
anonymous
  • anonymous
i guess not
anonymous
  • anonymous
so its A?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Thank you so much
anonymous
  • anonymous
np
anonymous
  • anonymous
well i gotto go so bye

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