Answers:
- Exponential and increasing
- Exponential and decreasing
- Linear and decreasing
- Linear and increasing
- Exponential and increasing
=========================================================
Explanation:
Problems 1, 2, and 5 are exponential functions of the form where b is the base of the exponent and 'a' is the starting term (when x=0).
If 0 < b < 1, then the exponential function decreases or decays. Perhaps a classic example would be to study how a certain element decays into something else. The exponential curve goes downhill when moving to the right.
If b > 1, then we have exponential growth or increase. Population models could be one example; though keep in mind that there is a carrying capacity at some point. The exponential curve goes uphill when moving to the right.
In problems 1 and 5, we have b = 2 and b = 1.1 respectively. We can see b > 1 leads to exponential growth. I recommend making either a graph or table of values to see what's going on.
Meanwhile, problem 2 has b = 0.8 to represent exponential decay of 20%. It loses 20% of its value each time x increases by 1.
---------------------
Problems 3 and 4 are linear functions of the form y = mx+b
m = slope
b = y intercept
This b value is not to be confused with the previously mentioned b value used with exponential functions. They're two different things. Unfortunately letters tend to get reused.
If m is positive, then the linear function is said to be increasing. The line goes uphill when moving to the right.
On the other hand if m is negative, then we go downhill while moving to the right. This line is decreasing.
Problem 3 has a negative slope, so it is decreasing. Problem 4 has a positive slope which is increasing.
A- 3 and 4 ... hope this helps uu
You multiply 1.95 by 3 and get 5.85 as the answer.
Answer:
Area of living room
= 20(x+5)
= 20x +100
Area of dining room= 20x
Total area
= 20x +100 +20x
= 40x +100
Total perimeter (after wall is removed)
= 2(20) + 2( x+x+5)
= 40 + 2(2x+5)
= 40 +4x +10 (expand)
= 4x +50 (simplify)
Step-by-step explanation:
Area of rectangle= length × breadth
Answer:
B. y=50x
Step-by-step explanation:
We can see the y intercept is 0 because the line starts at 0.
To find the slope, we can look at the first point. It is at (1, 50).
Slope=rise/run or change in y/change in x=50/1=50.