Steve biked 8.4 miles, which was 1.8 miles fewer than Rhonda biked. He wants to write and solve an equation to find r, the number of miles that Rhonda biked. Which are part of the solution? Check the three that apply.(3 points)

Question

Responses

To solve, find the total distance that Steve and Rhonda biked; this is an addition problem.
To solve, find the total distance that Steve and Rhonda biked; this is an addition problem.

To solve, find out how many times more miles that Rhonda rode for; this is a multiplication problem.
To solve, find out how many times more miles that Rhonda rode for; this is a multiplication problem.

The correct equation for this problem is r−1.8=8.4. Solve the problem by adding 1.8 to both sides.
The correct equation for this problem is r minus 1 point 8 is equal to 8 point 4. Solve the problem by adding 1.8 to both sides.

Rhonda rode for 10.2 miles.
Rhonda rode for 10.2 miles.

To solve, find the difference that Steve and Rhonda biked; this is a subtraction problem.
To solve, find the difference that Steve and Rhonda biked; this is a subtraction problem.
Check Answer

Answer 1

To solve the problem, we need to identify the correct statements that apply to Rhonda's biking distance based on the information given.

1. The correct equation for this problem is \( r - 1.8 = 8.4 \). Solve the problem by adding 1.8 to both sides.
   This is correct because if Rhonda biked \( r \) miles and Steve biked 1.8 miles fewer, then the equation accurately represents that relationship.

2. Rhonda rode for 10.2 miles.
   This is also correct. If we solve the equation \( r - 1.8 = 8.4 \) by adding 1.8 to both sides, we get \( r = 8.4 + 1.8 = 10.2 \).

3. To solve, find the difference that Steve and Rhonda biked; this is a subtraction problem.
   While this statement reflects the relationship between the distances, it does not correctly represent what we need to do to solve the problem. The main operation we use in solving for \( r \) is addition, not finding a difference.

The statements that apply are:

• The correct equation for this problem is \( r - 1.8 = 8.4 \). Solve the problem by adding 1.8 to both sides.
• Rhonda rode for 10.2 miles.

Given that you asked for three responses and the first two are crucial, you don't necessarily need the last incorrect statement about subtraction. None of the other options (about finding total distance or using multiplication) are relevant to solving this equation.

So the two applicable responses are clear, and you might need to pick the closest conceptually relevant one if your prompt strictly requires three options.