9514 1404 393
Answer:
D. Both functions are decreasing at the same average rate on that interval
Step-by-step explanation:
The dashed lines on the attached graph of the two functions (f in red, g in purple) represent the average rate of change of each function on the interval. The lines are parallel, because the average rate of change is the same for each of the functions on that interval.
__
Function f decreases by 60 units from f(0) = 64 to f(4) = 4 on the interval x = [0, 4]. Function g decreases by 60 units from g(0) = 75 to g(4) = 15 on the same interval. The average rate of change is the amount of decrease divided by the interval width. Those values are the same for both functions.
Answer:
C (the last one)
Step-by-step explanation:
On number line #3, the point is two digits after the 1 and three digits after 1.5. That shows it is 1.2, so it's C
Hope this Helps!
When we say two quantities 
and 
are proportional to one another, there are two ways we could mean this.
- If is *directly* proportional to , then we mean that as changes, changes in the same direction. In other words, if is in/decreased, then also in/decreases. The rate of in/decrease doesn't have to be one-to-one; for example, we could have increase by 1 unit while would proportionally increase by 5 units. In this case, we'd have 
.
- On the other hand, if is *inversely* proportional to , then a change in results in a change in that goes in the opposite direction. A common example involves taking a rectangle of constant area and adjusting the width and length . If the rectangle has an area of 5 square units, then we could have 
and 
, or we could have 
and 
, or 
and 
, or any combination of and such that 
is satisfied.
In both cases, we call 5 the "constant of proportionality".
On to your exercises:
(1a) Looks like 
stands for number of apples. Then we're told that the cost 
, which means that for every apple, the cost increases by 2.3 dollars. So the constant of proportionality is 2.3. In the language of proportionality, we could then say that the cost of apples is directly proportional to the number of apples by a factor of 2.3.
(1b) 5.4
(1c) 12.5
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
Let x represent the number of adults who swam at the pool. Then (262-x) is the number of children. Multiplying these numbers by the corresponding admission charge will give the associated receipts. We are given the total of receipts, so we can write the equation ...
... 2.00x +1.50(262-x) = 470.00
... 0.50x +393.00 = 470.00 . . . . . simplify
... 0.50x = 77.00 . . . . . . . . . . . . . . .subtract 393
... 77.00/0.50 = x = 154 . . . . . . . . . divide by the coefficient of x
... (262-x) = 108 . . . . . . . . . . . . . . . .find the number of children admitted
Answer:
$576
Step-by-step explanation:
The equation for simple interest is I = PRT, where I is the interest earned, P is the principal/amount deposited, R is the rate as a decimal, and T is time in years.
I = (3200)(0.06)(3)
I = 576
