Question

Steve biked 5.6 miles, which was 1.7 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. NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.(3 points)ResponsesThe correct equation for this problem is r−1.7=5.6. Solve the problem by adding 1.7 to both sides.The correct equation for this problem is r minus 1 point 7 is equal to 5 point 6. Solve the problem by adding 1.7 to both sides.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.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.Rhonda rode for 7.3 miles.Rhonda rode for 7.3 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.

Answer 1

To determine the correct responses for Steve's biking problem, let's break down the situation:

1. Understanding the Problem: Steve biked 5.6 miles, which is 1.7 miles fewer than what Rhonda biked. Therefore, we can express this relationship with an equation.

2. Formulating the Equation:

   • If we let \( r \) represent the number of miles Rhonda biked, we can write the equation as: \[ r - 1.7 = 5.6 \]

3. Solving the Equation:

   • To solve for \( r \), you would add 1.7 to both sides of the equation: \[ r = 5.6 + 1.7 \] \[ r = 7.3 \]

Now, let's check the responses:

• "The correct equation for this problem is r−1.7=5.6.": This is correct.
• "Solve the problem by adding 1.7 to both sides.": This is correct.
• "To solve, find out how many times more miles that Rhonda rode for; this is a multiplication problem.": This is incorrect (there’s no multiplication involved).
• "To solve, find the total distance that Steve and Rhonda biked; this is an addition problem.": This is incorrect in the context of solving for Rhonda's distance specifically.
• "Rhonda rode for 7.3 miles.": This is correct.
• "To solve, find the difference that Steve and Rhonda biked; this is a subtraction problem.": While the context involves subtraction (since Steve biked fewer miles), the primary operation here to solve for \( r \) is addition, so this is a bit misleading.

Based on this analysis, the correct responses to check would be:

1. The correct equation for this problem is r−1.7=5.6.
2. Solve the problem by adding 1.7 to both sides.
3. Rhonda rode for 7.3 miles.

The correct choices are those three options listed above.