Riley is swinging on a swing at the playground. Let trepresent time, in seconds, and let $(t) represent Riley's horizontal distance, in inches, from her starting position, as shown in the table. t
0 0.75
1.5
2.25 3
3.75
4.5
5.25
6 6.75
f(t) 0 38.9
55
38.90 -28.9
-55
-38.90 38.9
Note: When Riley swings in front of the starting position, f(t) is positive, and when Riley swings behind the starting position, f(t) is negative.
From the table, Riley is moving forward on the interval (0,
It takes Riley seconds to swing forward, back, and then return to her starting position.
Riley reaches a maximum distance of
inches from her starting position

  n=   0.0000 - 0.3750 i  

  n=   0.0000 + 0.3750 i

step-by-step explanation:

one of these should be correct

your answer would be 10x - 1

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.