MATH SOLVE

3 months ago

Q:
# Nate’s work to solve a math problem is shown below.Problem: Leona traveled 25 miles in 2/3 of an hour. What was her average speed in miles per hour?What was Nate’s first error?A-He used division instead of multiplication to model the problem in step 1.B-He switched the divisor and the dividend when creating an equation to model the problem in step 1.C-He replaced the wrong term with its reciprocal in step 2.D-He should not have changed division to multiplication in step 2.AndWhich question is best modeled with a division expression?A-How many 3/8's are in 48?B-What is 3/8 of 48?C-What is the total of 3/8 and 48?D-How much more than 3/8g is 48?

Accepted Solution

A:

Answer:Answer (C) ⇒ He replaced the wrong term with its reciprocal in step 2Answer (A) ⇒ How many 3/8 's in 48Step-by-step explanation:∵ The distance = 25 miles∵ The time = 2/3 hour∵ Average speed = distance ÷ time∴ Average speed = 25 ÷ 2/3 ⇒ step 1 (he is √) = 25 × 3/2 ⇒ step 2 (his 1st error 1/25 × 2/3) = 75/2 miles/h∵ How many 3/8 's are in 48 means: 48 ÷ 3/8 = 48 × 8/3 = 128∴ Answer (A) is best modeled with a division expression