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Answer: (B) 3 times as fast
<u>Step-by-step explanation:</u>
rate of change is the "slope" between the given interval.
f(x) = 125(.9)ˣ
f(1) = 125(.9)¹
= 112.5
f(5) = 125(.9)⁵
= 73.8
********************
f(11) = 125(.9)¹¹
= 39.2
f(15) = 125(.9)¹⁵
= 25.7
********************
The rate of change from years 1 to 5 is approximately 3 times the rate of change from years 11 to 15.
Answer:
Chicken is $8
Duck is $5
Step-by-step explanation:
Step 1: Let represent the cost of chickens and let
represent the cost ducks. Since we have two unknowns, we need two equations to find them.
Step 2: The total cost of chickens Michael sold last month can be shown as , and the total cost of ducks he sold last month can beshown as
Since these together add up to 550, we get these equations:
We are also given that this month, Michael sold 44 chickens, and 36start text, 36 ducks, $532. This equaion can be expressed as:
Now that we have a system of the two equations, we can now go ahead and solve the two equations.
Step 3: We can now solve the system of equations by using the elimination method. Manipulate the equations so one of the variables has the same coefficients but with opposite signs.
Now eliminate
When we solve the resulting equation, we obtain that . Then, we can substitute this into one of the original equations and solve for
to obtain
.
Step 4: Recall that denotes the cost of a chicken and
denotes the cost of a duck. Therefore, a chicken costs $8, and a duck costs $5