Question

Which system of equations could be used to find the cost of a dozen bagels

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Represent the given variables

Let b represents the bagels delivered to an office in dozens

Let f represents the delivery fee

STEP 2: Interpret the statements in the question

`\begin{gathered} two\text{ dozens bagel plus delivery fee at a total cost of \$8 }\Rightarrow2b+f=8 \\ \text{three dozens bagel plus delivery fee at a total cost of \$11 }\Rightarrow3b+f=11 \end{gathered}`

Hence, the system of equations that could be used to find the cost of a dozen bagels is given as:

`\begin{gathered} 2b+f=8 \\ 3b+f=11 \end{gathered}`

OPTION D