Question

Give an example of a real-world situation involving two unknown quantities. Then write an algebraic expression to represent the situation.

Answer 1

a real world expression would be Toby had makes 3 dollars per hour he wants to buy a ps4 for 40 dollars. he already has 10 dollars. how many hours does he have to work to afford his ps4. 3x+10=40

Answer 2

`t=(15)/(s)` represents the situation described below.

Explanation:

A real-world situation could be

Mary is runs everyday, she runs 15 kilometers per day, if she move at a constant speed, what would be the ratio that represents the time she needs everyday to make 15 kilometers.

In this example, we have three quantities, distance traveled, speed and time. But, we already now the distance traveled, and we don't know the speed and time Mary uses to make 15 kilometer. We also know that the movement is constant, so it's defined by

`s=(d)/(t)`

Where
`s` is speed,
`d` is distance and
`t` is time. So, if
`d=15`, the ratio that represents time would be

`s=(d)/(t)\\ t=(d)/(s)\\ t=(15)/(s)`

Therefore, the algebraic expression that represents the hypothetical situation is

`t=(15)/(s)`

Where
`t` is time and
`s` is speed.