At a local baseball game, the concession stand has two different meal choices. You can get 7 hotdogs and 5 drinks for $41.00 or you can get 4 hotdogs and 8 drinks for $44.00. If the price of hotdogs and drinks is the
same for each meal, find how much it costs for an individual hotdog and how much it costs for an individual
drink.
per hotdog:

per drink:

Each hotdog is $3 and each drink is $4.

Step-by-step explanation:

Let h be the number of hotdogs and d the number of drinks,

7h + 5d = 41

4h + 8d = 44

Let's eliminate h.  Multiply the first by 4 and the second by 7.

28h + 20d = 164

28h + 56d = 308

Subtrat the first from the second.

36d = 144

d = 4

Substitute back into one of the equations.

7h + 5(4) = 41

7h + 20 = 41

7h = 21

h = 3

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

4

step-by-step explanation: