Which situation could the equation 1.5x+8=12.5

represent?(1 point)
Responses

Toby spent $12.50 at the amusement park. He went on x rides for $8 each, and he also bought a drink for $1.50.
Toby spent $12.50 at the amusement park. He went on x rides for $8 each, and he also bought a drink for $1.50.

Samantha bought x bottles of juice for $1.50 each. She used an $8 gift card. The total amount she had to pay was $12.50.
Samantha bought x bottles of juice for $1.50 each. She used an $8 gift card. The total amount she had to pay was $12.50.

Jazmin bought a pizza for $12.50. A plain cheese pizza is $8. She got x additional toppings, which cost $1.50 each.
Jazmin bought a pizza for $12.50. A plain cheese pizza is $8. She got x additional toppings, which cost $1.50 each.

Michael wants to earn $12.50 to buy a book. He earns $8 each time he walks the neighbor’s dog, which he has done x times. He still needs to earn $1.50.
Michael wants to earn $12.50 to buy a book. He earns $8 each time he walks the neighbor’s dog, which he has done x times. He still needs to earn $1.50.

1 answer

The equation \(1.5x + 8 = 12.5\) can be interpreted in the context of collecting costs or earnings.

Out of the provided options, the situation that matches this equation is:

Michael wants to earn $12.50 to buy a book. He earns $8 each time he walks the neighbor’s dog, which he has done x times. He still needs to earn $1.50.

In this case:

  • \(8\) represents the total amount he has earned from walking the dogs (\(8\) dollars per walk).
  • \(1.5x\) represents the additional earnings he needs to accumulate, where \(x\) is the number of times he has walked the dog.
  • The equation sets the total he needs to earn to \(12.50\), indicating that he still requires an additional \(1.50\) after earning \(8\).

Therefore, Michael's situation best represents the equation \(1.5x + 8 = 12.5\).