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Ostrovityanka [42]
3 years ago
12

The following data was collected on a cheetah its ran 1/2 mile in 2/3 min,1/4 in 1/3 min,and 3/4 mike in 1 min. Explain how you

know this is a proportional relationship
Mathematics
1 answer:
svp [43]3 years ago
5 0
Proportional means equal, by the way.

I know that this is a proportional relationship because, if you really look at it, you can see the equality between the three pieces of data. 1/2 = 2/4, and 2/4 mile in 2/3 minute... Divide those two numerators by 2/2 and you get the next data piece. Now, multiply the second data piece by 3/3, and you get the third piece.

Now, look at the numbers I told you to multiply/divide by. They all equal 1. In other words, the only difference between them is the time, the unit rate of the distance (1/4 mile/1/3 min) remains the same.
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8 0
3 years ago
If f(1) = 6 and f(n) = f(n − 1) +3, then f(7) =<br> (1) 10 (2) 24 (3) 15<br> (4) 18
Juliette [100K]

Answer:

24

Step-by-step explanation:

f(n) = f(n − 1) + 3

if n = 7 => f(7) = f(7-1) + 3 = f(6) + 3

if n = 6 => f(6) = f(6-1) + 3 = f(5) + 3

if n = 5 => f(5) = f(5-1) + 3 = f(4) + 3

if n = 4 => f(4) = f(4-1) + 3 = f(3) + 3

if n = 3 => f(3) = f(3-1) + 3 = f(2) + 3

if n = 2 => f(2) = f(2-1) + 3 = f(1) + 3

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f(3) = 12

f(4) = 15

f(5) = 18

f(6) = 21

f(7) = 24

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