The total cost for a bucket of popcorn and 4 movie tickets is $56. the total cost for the same size bucket of popcorn and 6 movie tickets is $80. which equation represents the relationship between y, the total cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?

The required equation is, y = 8 + 12 x

Step-by-step explanation:

Let p be the price of one bucket of popcorn and t be the price of one ticket,

Since, the total cost for a bucket of popcorn and 4 movie tickets is $56

⇒ p + 4t = 56  (1)

And, the total cost for the same size bucket of popcorn and 6 movie tickets is $80.

⇒ p + 6t = 80 (2)

Equation (1) - Equation (2),

⇒ -2 t = - 24 ⇒ t = 12

By substituting this value in equation (1),

We get, p + 48 = 56 ⇒ p = 8

Thus, the price of one bucket of popcorn = $8

And, the price of one ticket = $12

Thus, the total price (y) of one bucket of popcorn and x tickets is,

y = 8 + 12 x

Which is the required equation.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0