Model : Actual
48 inches : 604 feet
48 inches : 7248 inches
(÷48) : (÷48)
1 inch : 151 inches
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Answer : Ratio of Model to actual Space Needle = 1 : 151
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Answer:
We do not have the function g(x), but this can be solved in a trivial way.
The average rate of change in a interval is the slope over that interval, so the average rate of change of g(x) in the interval 1 < x < 5 is
p = (g(x2) - g(x1))/(x2 - x1) where x2 > x1
p = (g(5) - g(1))/(5 - 1) = (g(5) - g(1))/4
Now, suppose that i have the new equation h(x) = g(x) + x
the rate of change of this function, the average rate of change in the interval will be:
p' = (h(5) - h(1))/(5 - 1) = (g(5) + 5 - g(1) - 1)/4 = (g(5) - g(1))/4 + 4/4 = p +1
so p' > p
and the average rate of change of h(x) is bigger than the one of g(x) in the interval 1< x < 5
Answer:
y = 40x + 35
Step-by-step explanation:
Let x represent each month of service in the equation
Since it is $40 for each month, the price for each month can be represented by 40x.
The $35 fee will represent the y intercept, and will be added to 40x in the equation.
Put this together in the equation y = mx + b
y = 40x + 35
So, the linear equation to model the situation is y = 40x + 35
Answer:
Step-by-step explanation:
If Silas scores 15 points during the 1st round, he will have 15 points after the 1st round.
After the 2nd round, he would have -15 points because he lost 30,
In the 3rd round, he would have -5 points because he gained 10 points
Hope this helps!
