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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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
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the numbers after the variables are exponents
linear functions don't have exponents. Which is that?
equation 4

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

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