To find the initial value of the linear function, we can use the formula for a linear function:
y = mx + b
where m is the rate of change and b is the initial value. We are given that m = -47 and that (14,3) is a point on the line.
Substituting the values into the equation, we get:
3 = -47(14) + b
Simplifying, we have:
3 = -658 + b
Adding 658 to both sides:
b = 661
Therefore, the initial value of the linear function is b = 661.
Answer: None of the given responses are correct.
Find the initial value of the linear function, given that the rate of change is m=−47 , and (14,3) is an (x,y) value of the linear function. (1 point) Responses b=15.71 b equals 15.71 b=−5 b equals negative 5 b=11 b equals 11 b=12.29 b equals 12.29
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you sure
Apologies for the confusion. You are right, it seems I made an error in my calculations. Let me recalculate.
Using the formula for a linear function, y = mx + b, we know that m = -47 and the point (14,3) lies on the line. Substituting these values into the equation, we get:
3 = -47(14) + b
3 = -658 + b
To solve for b, we add 658 to both sides:
3 + 658 = b
661 = b
Therefore, the initial value of the linear function is b = 661.
Answer: b equals 661.
Using the formula for a linear function, y = mx + b, we know that m = -47 and the point (14,3) lies on the line. Substituting these values into the equation, we get:
3 = -47(14) + b
3 = -658 + b
To solve for b, we add 658 to both sides:
3 + 658 = b
661 = b
Therefore, the initial value of the linear function is b = 661.
Answer: b equals 661.
wrong
Apologies for the confusion. Let's solve it correctly.
We are given that the rate of change is m = -47. The rate of change represents the slope of the linear function.
We also have the point (14,3) on the line. This means that when x is 14, y is 3.
Now we can use the point-slope formula to find the equation of the line:
y - y1 = m(x - x1)
Substituting the given values:
y - 3 = -47(x - 14)
Expanding and simplifying:
y - 3 = -47x + 658
Rearranging the equation to find y:
y = -47x + 661
The initial value of the linear function (the y-intercept) is the value of y when x is 0. Substituting x = 0 into the equation:
y = -47(0) + 661
y = 661
Therefore, the initial value of the linear function is b = 661.
Correct answer: b equals 661.
We are given that the rate of change is m = -47. The rate of change represents the slope of the linear function.
We also have the point (14,3) on the line. This means that when x is 14, y is 3.
Now we can use the point-slope formula to find the equation of the line:
y - y1 = m(x - x1)
Substituting the given values:
y - 3 = -47(x - 14)
Expanding and simplifying:
y - 3 = -47x + 658
Rearranging the equation to find y:
y = -47x + 661
The initial value of the linear function (the y-intercept) is the value of y when x is 0. Substituting x = 0 into the equation:
y = -47(0) + 661
y = 661
Therefore, the initial value of the linear function is b = 661.
Correct answer: b equals 661.
Find the initial value of the linear function, given that the rate of change is m= −4//7, and (14,3) is an (x,y) value of the linear function.(1 point) Responses b=15.71 b equals 15.71 b=−5 b equals negative 5 b=11 b equals 11 b=12.29 b equals 12.29
To find the initial value of the linear function, we can use the formula for a linear function:
y = mx + b
where m is the rate of change and b is the initial value. We are given that m = -4/7 and that (14,3) is a point on the line.
Substituting the values into the equation, we get:
3 = (-4/7)(14) + b
Simplifying, we have:
3 = -8 + b*(4/7)
To isolate b, we can multiply both sides of the equation by 7:
21 = -56 + 4b
Adding 56 to both sides:
77 = 4b
Dividing both sides by 4:
b = 77/4
b = 19.25
Therefore, the initial value of the linear function is b = 19.25.
Answer: b equals 19.25.
y = mx + b
where m is the rate of change and b is the initial value. We are given that m = -4/7 and that (14,3) is a point on the line.
Substituting the values into the equation, we get:
3 = (-4/7)(14) + b
Simplifying, we have:
3 = -8 + b*(4/7)
To isolate b, we can multiply both sides of the equation by 7:
21 = -56 + 4b
Adding 56 to both sides:
77 = 4b
Dividing both sides by 4:
b = 77/4
b = 19.25
Therefore, the initial value of the linear function is b = 19.25.
Answer: b equals 19.25.
Find the initial value of the linear function, given that the rate of change is m= −4/7, and (14,3) is an (x,y) value of the linear function.(1 point) b=15.71 b equals 15.71 b=−5 b equals negative 5 b=11 b equals 11 b=12.29 b equals 12.29
To find the initial value of the linear function, we can use the formula for a linear function:
y = mx + b
where m is the rate of change and b is the initial value. We are given that m = -4/7 and that (14,3) is a point on the line.
Substituting the values into the equation, we get:
3 = (-4/7)(14) + b
Simplifying, we have:
3 = -8/7 + b
To isolate b, we can subtract -8/7 from both sides of the equation:
3 + 8/7 = b
Multiplying 3 by 7/7 to get a common denominator:
21/7 + 8/7 = b
Combining like terms:
29/7 = b
Therefore, the initial value of the linear function is b = 29/7 which is approximately equal to 4.143.
Thus, the correct answer is: b equals 4.143.
y = mx + b
where m is the rate of change and b is the initial value. We are given that m = -4/7 and that (14,3) is a point on the line.
Substituting the values into the equation, we get:
3 = (-4/7)(14) + b
Simplifying, we have:
3 = -8/7 + b
To isolate b, we can subtract -8/7 from both sides of the equation:
3 + 8/7 = b
Multiplying 3 by 7/7 to get a common denominator:
21/7 + 8/7 = b
Combining like terms:
29/7 = b
Therefore, the initial value of the linear function is b = 29/7 which is approximately equal to 4.143.
Thus, the correct answer is: b equals 4.143.