Agroup of 5 people goes to the theater. if each ticket cost $6.50 and each person gets a bag of popcorn for $5.75, is $50 a reasonable estimate for the total cost for the group? explain.

$50 is not a reasonable estimate for the total cost for the group.The total expense incurred will be actually $61.25

Step-by-step explanation:

Cost of movie ticket = $6.50

Cost of a bag of popcorn = $5.75

Total cost = = $12.25

Total number of people = 5

Total cost for 5 persons =

=

=

So the total cost for the group is well above $50, that is [$61.25 > $50]

The total expense incurred will be actually $61.25

she drove 134 miles

step-by-step explanation:

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 ☺