At the carnival, a ferris wheel ride costs 2 tickets and a roller coaster ride costs 4 tickets. Miles has 16 tickets. Write the linear equation for the number of rides he can ride.
PLEASE HEL!!!

y = number of ferris wheel rides taken

x = number of roller coaster rides taken

it costs 2 tickets to go on the ferris wheel, so 2y represents how many tickets you use up when you ride on the ferris wheel y times

Similarly, 4x represents how many tickets you use up when you ride on the roller coaster x times.

2y+4x is the total number of tickets used up. We have 16 tickets, so 2y+4x = 16

Solve for y

2y+4x = 16

2y = -4x+16

y = (-4x+16)/2

y = (-4x)/2 + 16/2

This equation lets you figure out how many times you can go on the ferris wheel if you know how many times you have gone on the roller coaster.

For instance, if you go on the roller coaster one time, then x = 1 and

y = -2x+8

y = -2(1) + 8

y = -2+8

y = 6

meaning you can go on the ferris wheel 6 times.

2F + 4R = 16

Or,

F + 2R = 8

Step-by-step explanation:

F: no. of ferris wheel rides

R: no. of roller coaster rides

2F + 4R = 16

F + 2R = 8

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 ☺