Answer:
look at explanation
Step-by-step explanation:
To solve all of these questions you just need to scale. While scaling you can divide or multiply.
1. [tex]\frac{180 km}{4 hrs}[/tex] (divide by 4 to get unit rate)
unit rate = [tex]\frac{45km}{1hr}[/tex]
2. If it takes one hour to travel 40 miles, then we don't have to scale or anything. We know [tex]\frac{40 miles}{1 hr}[/tex], the answer is...
"It'll only take one hour to travel 40 miles. This is correct because the unit rate is [tex]\frac{40 miles}{1 hr}[/tex]. "
3. Knowing that the constant speed of the plane is [tex]\frac{800 km}{1 hour\\}[/tex], we can scale then add half of the unit rate to get our answer.
[tex]\frac{800 km}{1 hour\\}[/tex] x 3 = [tex]\frac{2400 km}{3 hrs}[/tex] 800 x 3 = 2400
then add half of unit rate which is [tex]\frac{400 km}{30 mins}[/tex] [tex]\sqrt[2]{800}[/tex] = 400
so, our answer is [tex]\frac{2800 km}{3.5 hours}[/tex]
4. [tex]\frac{3km}{30 mins}[/tex] <--- ( divided by 2) [tex]\frac{6 km}{1 hr}[/tex] ( multiplied x 2.5) ---> [tex]\frac{15 km}{2.5 hrs}[/tex]
To get an easier way to find the answer, if possible you can scale back farther than the 1 hour mark.
Elmer would take 2 and a half hours to ride 15 km.
5. The boys speed is [tex]\frac{4 km}{1 hr}[/tex]. All we need to do is divide by 2. [tex]\sqrt[2]{8}[/tex] = 4
