Part A:
Consider from x = -5 to x = -4, they are 1 unit apart and the difference of their outputs is given by:
-3 - (-11) = -3 + 11 = 8.
Thus, the value of the output increases by 8 units for each one unit increase in the input.
Part B:
Consider from x = -3 to x = -1, they are 2 units apart and the difference of their outputs is given by:
21 - 5 = 16.
Thus, the value of the output increases by 16 units for each two units increase in the input.
Part C:
Consider from x = 0 to x = 3, they are 3 units apart and the difference of their outputs is given by:
53 - 29 = 24.
Thus, the value of the output increases by 24 units for each three units increase in the input.
Part D:
It can be noticed that the ratio difference in the outputs to the input intervals are equal for all the given input intervals.
i.e 8 / 1 = 16 / 2 = 24 / 3.
No, she did the right way!!!!!
Answer:
25 miles, and the cost will be $37.50.
Step-by-step explanation:
Mose's charge can be represented by f(x) = 0.5x + 25, Holly's charge can be represented by g(x) = 0.3x + 30.
Set the equations equal to each other: 0.5x + 25 = 0.3x + 30.
0.2x = 5
x = 25
Substitute 25 for x: f(x) = 0.5(25) + 25 = 37.5, g(x) = 0.3(25) + 30 = 37.5.
So f(x) = g(x) at x = 25, and the output will be 37.5.
Answer:
y=2/3x-11/3
Step-by-step explanation:
to find the y intercept, you can input your values into the equation:
b=y1−m⋅x1
When you do that, you get:
b=−1−(2/3)⋅(4)=−11/3
When you convert that equation into y=mx+b form, you get:
y=2/3x-11/3
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