Amovie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds $60. the theater sells a bag of popcorn for $6 and bottle of soda for $3.50. let x represent the number of bags of popcorn, and let y represent the number of bottles of soda. which linear inequality can be used to find the quantities of popcorn and soda that should be purchased to receive a poster?

We have been given that x represent the number of bags of popcorn, and let y represent the number of bottles of soda.

Now, the theater sells a bag of popcorn for $6 and bottle of soda for $3.50.

Therefore, cost of x bags of pop corn is given by $6x

And the cost of y bottles of soda is given by $3.50y

Thus, the total cost is given by

Now, we have been given that theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds $60.

It means that the total cost must be greater than $60.

Therefore, the required inequality is given by

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.