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Fofino [41]
3 years ago
6

Can someone please help me out

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0

Answer:

B

Step-by-step explanation:

The distance of a run compared with the number of times around a track.

The question asks for what is most likely to have a constant rate of change. This means that for every x, there is about the same y, as a constant rate of change means that there is a consistent slope, which is the x and y value. In real world terms, it means that you can expect every one value to change however much without changing randomly.

For example, when you buy a pizza, you expect a pizza to get you 8 slices. When you get two, you expect to get 16, 3 gets you 24 slices, and so on. This expectation is based off the constant rate of change, as you get 8 slices for each pizza. The slices would be modeled as y and the pizza would be modeled as x in mathematical terms in this situation.

Because we know that the track's distance doesnt change with every lap, we can expect it to have a constant rate of change. This concept is the same as the pizza as discussed earlier. Every lap would get her a certain amount of miles, and every other lap would increase the same amount.

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Here is a visual representation of it.

(f o g)(x) = 2(9x + (3/2)) - (3/9) 

We need to distribute the 2 to everything inside the parenthesis.

(f o g)(x) = 18x + (6/2) - (3/9) 

Let's simplify the fraction on the right and left, then find a common denominator so we can add / subtract the two fractions. 

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Combine like terms.

(f o g)(x) = 18x + (8/3)

Our final answer is: 
(f o g)(x) = 18x + 8/3

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