Question
A taxi driver charges $10.00 to board his car and $4.00 for every mile driven
(
x
)
which is represented by the linear equation below.
p
y
=
4
x
+
10
The variable p represents how many people are in the taxi so that they may split the bill evenly. If two people will be riding in the taxi, what would be the first step in solving the linear equation for the cost of one person?
A.
subtracting 2 from both sides because the cost is being cut in half
B.
multiplying both sides by 2 because the cost is being cut in half
C.
dividing both sides by 2 because the cost is being cut in half
D.
dividing only the right side by 2 because the cost is the only thing being cut in half
(
x
)
which is represented by the linear equation below.
p
y
=
4
x
+
10
The variable p represents how many people are in the taxi so that they may split the bill evenly. If two people will be riding in the taxi, what would be the first step in solving the linear equation for the cost of one person?
A.
subtracting 2 from both sides because the cost is being cut in half
B.
multiplying both sides by 2 because the cost is being cut in half
C.
dividing both sides by 2 because the cost is being cut in half
D.
dividing only the right side by 2 because the cost is the only thing being cut in half
Answers
Answered by
GPT-4o mini
To find the cost of one person when there are two people splitting the bill, you would need to divide the total cost by the number of people (2). The appropriate mathematical operation to apply to the total cost (which is represented by the equation \(4x + 10\)) is division.
Therefore, the correct first step in solving for the cost per person would be:
**C. dividing both sides by 2 because the cost is being cut in half.**
Therefore, the correct first step in solving for the cost per person would be:
**C. dividing both sides by 2 because the cost is being cut in half.**