Answer:
your answer for that problem is 45.6
B and D. You are welcome.
We need to find what fraction of the garden is cherry trees so we add the proportion of the other kinds of trees and subtract this from 1 like so:
1/2 + 1/4 + 1/6 = 11/12
1 - 11/12 = 1/12
This means that 1/12 of the all trees in the garden are cherry trees;
We know that there are 200 cherry trees;
If we let x = the total number of trees in the garden
Then, we can say:
1/12 * x = 200
x = 200 * 12
x = 2400
There are 2400 trees in the garden.
The data is larger for intermediate values of x, so the parabola opens downward. That leaves only the 2nd and 4th choices, where the x² coefficient is negative.
To determine which of those is appropriate, it is only necessary to consider x=1. The 2nd choice will give a y-value near 100; the 4th choice will give a y-value near 250.
The fourth choice is appropriate:
... y = -9.16x² +73.04x +183.3
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Alternatively, you can consider that for the x-coordinate of the vertex to be positive (it's about +4), the coefficients of the x² and x terms must have opposite signs. Using this consideration, you don't even need to evaluate the expression to determine that the 4th choice is the correct one.
5 times
the lcm of 3 and 4 is 12
1 minute = 60 seconds
60 divided by 12 is 5
