Angelo is trying to save up to buy the new iPhone 11. He has $40 in his wallet. He decides to shovel snow off driveways for $30 per house to earn some money.
Which equation models the situation?
1. x = 40 + 30y
2. y = 40 + 30x**
3. y = 30 + 40x
4. x = 40 +30y
You are correct!
I would write it as y=30x+40 but either way is fine
Whats the model and graph models that situation?
To determine the correct equation that models the situation, we need to understand the given information.
Angelo has $40 in his wallet, and he can earn $30 per house by shoveling snow off driveways.
Let's break down the equation options:
1. x = 40 + 30y: This equation represents the total amount Angelo has (x) based on the number of houses (y) he shovels. However, since Angelo already has $40, this equation doesn't account for that initial amount. Therefore, this is not the correct equation.
2. y = 40 + 30x: This equation represents the earnings (y) based on the number of houses (x) Angelo shovels. This equation correctly accounts for Angelo's initial $40, as he is earning money. Therefore, this is the correct equation.
3. y = 30 + 40x: This equation models a different situation since the $30 is not associated with shoveling houses but rather represents an additional fixed amount. Therefore, this is not the correct equation.
4. x = 40 + 30y: This equation represents the number of houses (x) based on the total amount Angelo has (y). Since the given information states that Angelo earns money by shoveling houses and not the other way around, this equation does not correctly represent the situation.
Hence, the correct equation that models the situation is:
y = 40 + 30x