In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.
In exponential models there is a constant multiplicative rate of change.
The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.
We can test that using several pair of points.
The multiplicative rate of change is calcualted in this way:
[f(a) / f(b) ] / (a - b)
Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)
[12.5 / 5] / (2 - 1) = 2.5
[5 / 2] / (1 - 0) = 2.5
[2 / 0.8] / (0 - (-1) ) = 2.5
Then, do doubt, the answer is 2.5
Answer:14 hrs and 25 mins
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given:</u>
- Horizontal leg of the right triangle = 778 ft
- Angle opposite to vertical length = 39°
- Vertical leg = h
<u>Use tangent to solve for h:</u>
- h/778 = tan 39°
- h / 778 = 0.81
- h = 0.81*778
- h = 630.18
Correct choice is B
Answer:
3x ≥ 45
15, 20 , 25
Step-by-step explanation:
Let's call the number of bars Renee sold as " x "
Let's call the number of bars Robin sold as " y "
Robins, y, sold two times as many bars as Renee, x
That means Robin sold 2 times x or 2x
So y = 2x
The sum of bars Renee, x, and Robin, 2x, sold together are no less than 45
No less than 45 means the number of bars have to be greater than or equal to 45
x + 2x ≥ 45
3x ≥ 45
x ≥ 15
Renee can sell, 15, 20, or 25 bars . (just has to be bigger or equal to 15)
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Answer:
D) V, S, T, U
Step-by-step explanation:
Note that the question is asking for the order from greatest to least. In the case of decimals, I find it easier to compare by placing them in a line going down and filling in zeros where needed to make them the same place values:
2.256 - S
2.220 - T
2.099 - U
2.710 - V
Since they all have the same first digit, I will look at the next digit following the decimal. '7' is the greatest, then '25', then '22' then '09':
D) V, S, T, U