You decide to do some bird watching at the park. When you sit down on the bench, you notice a flock of geese (a group of birds) by the pond. After some time, you decide to keep track of how many total birds
there are to see if there is a pattern. After 6 minutes of watching, you count 10 birds. After 15 minutes
of watching, you count 16 birds. Assume that the relationship between time and number of birds is linear.
Remember to show EVERY STEP in your work to receive full credit.
a. In this scenario, what is the slope and what b. In this scenario, what does the y-intercept
does it represent?
represent?
c. Write an equation that represents the number
of birds based on the minutes watching.
d. How many birds will there be 48 minutes after
you sat down?

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

6 equilateral triangles

tried on you are knowing that we can't leave the picture in the graph ok no problem now you need to send it in the question group