We can use the formula for the linear function y = mx + b, where m is the rate of change and b is the initial value.
Given that the rate of change is m = -47, we have the equation y = -47x + b.
Since (14, 3) is a point on the linear function, we can substitute x = 14 and y = 3 into the equation:
3 = -47(14) + b
Now we can solve for b:
3 = -658 + b
b = 3 + 658
b = 661
Therefore, the initial value of the linear function is b = 661.
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)Responsesb=−5b equals negative 5b=12.29 b equals 12.29b=11b equals 11b=15.71b equals 15.71
3 answers
wrong
Apologies for the mistake. Let's try to solve it correctly.
We have the rate of change, m = -47, and a point (14,3) on the linear function.
Using the formula y = mx + b, we can substitute the values and solve for b:
3 = -47(14) + b
3 = -658 + b
Adding 658 to both sides:
661 = b
Therefore, the initial value of the linear function is b = 661.
We have the rate of change, m = -47, and a point (14,3) on the linear function.
Using the formula y = mx + b, we can substitute the values and solve for b:
3 = -47(14) + b
3 = -658 + b
Adding 658 to both sides:
661 = b
Therefore, the initial value of the linear function is b = 661.