Answer:
Step-by-step explanation:
Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour?
✔ y = 160/x
What does the number 160 represent in the rational function that models the situation?
✔distance, in miles, between the cities
amount of fuel, in gallons, used by the train
time, in minutes, needed to travel between the cities
Hi! I'm happy to help!
To solve this problem, we need to divide the recipe amount in 1/6 amounts. So, we will do a fraction division problem like this:
15÷
This problem is hard to do with mixed numbers, so we need to turn 15 into an improper fraction. To do that we need to multiply 15 by 6, because that is our denominator, then add the extra .
(15×6)+1
90+1
91
So, our improper fraction would be, now, let's solve.
÷
It is difficult to do division problems on their own, so we can change this into an easier problem. We can do the inverse operation and turn this into multiplication. We do this by changing it to multiplication (obviously), then flip the second fraction.
×
Now, we just multiply the top by the top, and bottom by the bottom.
We could end it here, but we want a whole number, so, we simplify the number by dividing both the top and bottom by 6.
Anything over 1, is just a whole number
91.
<u>Therefore, the recipe should require 91 uses of the 1/6 cup.</u>
I hope this was helpful, keep learning! :D
average rate of change is the slope. You can use the two points to calculate the slope, or just use the graph and count rise over run.
rise over run is down 3 and to the right 1 = = -3
Answer: C