Jordan and Carson go to the movie theater and purchase refreshments for their friends.

Jordan spends a total of $25.75 on 1 bag of popcorn and 3 drinks.

Carson spends a total of $81.25 on 4 bags of popcorn and 9 drinks.

Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.

Using these equations, determine and state the price of a drink, to the nearest cent.

$7.25

Step-by-step explanation:

Let p=popcorn

Let d=drinks

25.75=1p+3d

81.25=4p+9d

p=4

d=7.25  

$7.25

Step-by-step explanation:

Cost of popcorn: x

Cost of drink: y

x + 3y = 25.75

x = 25.75 - 3y

4x + 9y = 81.25

4(25.75 - 3y) + 9y = 81.25

103 - 12y + 9y = 81.25

3y = 103 - 81.25

3y = 21.75

y = 7.25

x = 25.75 - 3(7.25)

x = 4

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25