Question

Write the equation that matches this word problem.

Taylor goes to a baseball game this weekend. He gets hungry and buys 3 hamburgers and 4 hot dogs. His total bill added up to $24.75.

(Hint: Use Standard Form)
Option 1: 3x + 4y = 24.75
Option 2: 4x + 3y = 24.75
Option 3: 3x + 4y = 247.5
Option 4: 4x + 3y = 247.5"

Answer 1

The word problem about Taylor's purchase at a baseball game is best represented by the linear equation 3x + 4y = 24.75, making Option 1 the correct choice.

Step-by-step explanation:

The word problem given by the student describes Taylor buying 3 hamburgers and 4 hot dogs for a total of $24.75. To write this as a linear equation in standard form, we can let x represent the cost of one hamburger and y represent the cost of one hot dog. Consequently, the total cost can be represented by the equation 3x + 4y = 24.75, where 3 indicates the quantity of hamburgers and 4 the quantity of hot dogs.

The correct option that matches this word problem and represents it in standard form is therefore Option 1: 3x + 4y = 24.75.