Question

The steps below show the work of a student used to calculate the number of yards in 804.5 meters.

(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
Step 1: 1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles
Step 2: 2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards
Step 3: 3,520 yards
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
How can the error in the student's work be corrected?
The 1,609 meters and the 804.5 meters in Step 1 should be switched.
The 1 mile and 804.5 meters in Step 1 should be switched.
The conversion factor should be added in Step 2 instead of being multiplied.
The conversion factor should be divided in Step 2 instead of being multiplied.
Question 8(Multiple Choice Worth 1 points)
(02.02 LC)
What is the unit cost per bottle if a pack of 6 bottles of juice sells for $4.80?
$0.28 per bottle
$28.80 per bottle
$0.80 per bottle
$8.00 per bottle

Answer 1

The error in the student's work can be corrected by switching the 1,609 meters and the 804.5 meters in Step 1. The correct steps are: Step 1: 804.5 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 1 mile. Step 2: 1 mile is being multiplied by conversion factor 1,760 yards over 1 mile equals 1,760 yards. Step 3: The final answer is 1,760 yards.

Step-by-step explanation:

The error in the student's work can be corrected by switching the 1,609 meters and the 804.5 meters in Step 1. This is because the conversion factor should represent the relationship between the two quantities being converted. In this case, the conversion factor should be 804.5 meters over 1 mile, since the goal is to convert from meters to yards.

Therefore, the correct steps are:

Step 1: 804.5 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 1 mile

Step 2: 1 mile is being multiplied by conversion factor 1,760 yards over 1 mile equals 1,760 yards

Step 3: The final answer is 1,760 yards.