4.3+Solving+Problems+with+Rates+0910

SM 11-1-10 Math 7B

The Big Idea**:**
Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them. 

__ Essential Question: __ __// What methods are there for comparing things? //__ A. Make a graph showing Sascha's total distance traveled over time. Use 5-minute time intervals on the x-axis.**
 * __Problem 4.3__



Sascha traveled 26.25 miles. I used the distance, time and speed formula. Speed= distance over time and I found out the distance by doing each part separately. The first part was when Sascha traveled 45 miles per hour in the first 10 minutes.I divided time (10 min.) by 60 (thats how many minutes there are in a hour), and times it by 100, (10 divided by 60x100).
 * B. How far did Sascha travel in his 1-hour ride? Explain.**

It would take 2 hours and 1 minute to travel the same distance as Sascha if you travel 13 mph (mile per hour).
 * C. If you could maintain a steady speed of 13 miles per hour on a bike, how long would it take you to travel the same distance as Sascha traveled in his 1-hour ride?**

I would travel 26.25 miles per hour because Sascha traveled 26.25 miles in total in one hour and If I travel 26.25 miles per hour then I would travel 26.25 miles in 1 hour just like Sascha!
 * D.** **If you were racing Sascha, what constant (steady) speed would you have to maintain to tie him?**

No you can't because you need to find out how many miles he had traveled and how long it took him during different times. Also you won't be able to make an equation to predict Sascha's total distance traveled only if he travels in a contant speed. Other than that you can't because he could slow down and his speed will change.
 * __Problem 4.3 Follow-Up__**
 * Can you write a single equation that will allow you to predict Sascha's total distance at anytime during his 1 hour ride? Why or why not?**