Question

Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?

Answer 1

from the information we have now we could write this equation:

ax+by=z
where
a - number of times she played arcade
x- prize of arcade
b- number of times of Ferris wheel
y- prize of Ferris
z- the whole allowance

so in order to make it a two-variable equasion we need to know the value of three more variables.

If let's say we know a, b, and z we could solve the problem of how much cheaper/more expensive the arcade is than ferris wheel (we could find something like x=2y, for example ( we don't know yet, we need more variables) so we'd know that one game is more expensive than the other.

Answer 2

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.