A double number line is used to show a(n) _____ relationship.
1 answer:
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Answer:
1/5
Step-by-step explanation:
Well work can be defined as:
where rate=amount of work that can be done in one unit of time
let a = rate of work A does in a day
let b = rate of work B does in a day
this means that: where work=1 and it just means the entire job has been completed.
Since b can do it alone in 15 days, this means that:
If we divide by 15 here, we get the equation:
We can now use this definition to substitute it into the first equation we made.
Multiply the 10 and 1/15
subtract 2/3 from both sides
Now divide both sides by 10
Now multiply this by 6, since we a represents the amount of work that can be done in a day, we want to find how many parts of the work can be done by a in 6 days
Now divide both the numerator and denominator by 6
1. The x-intercepts are x = 0 and x = 6. You can find these by looking for where the line crosses the x-axis. You can see here that it does so at 0 and 6.
2. The maximum value for this function is looking for the f(x) value at the highest point. In this case, you will see that f(x) at the highest point is 120. This happens at x = 3. Once again, this can be found just by looking for the highest point on the graph.
3. Since that is the absolute highest point, it is also the point where is goes from increasing to decreasing. As a result, we know the increasing interval is x<120 and the decreasing interval is x > 120.
4. Finally, the average rate of change between 3 and 5 is -30. You can find this by determining the amount of change in f(x) and dividing it by the amount of change in x. The basic formula is below.
-30