Examine each set of functions and determine which has the greater rate of change, if either. Explain your reason.
1 answer:
Answer:
The Spotted Cows delivery service has a greater rate of change.
Explanation
The Spotted Cows function is: y = 2.8x + 2
Dairy Farms function is: y = 2.1x + 10
I have graphed these two functions to determine which has a greater rate of change. The red line represents the Spotted Cow service while the blue represents the Dairy Farms service. On the graph you can see that the red line intersects and shifts above the blue line, meaning the rate increases at a higher rate than the blue.
Hope this helps!
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Part A
The sequence is geometric because the y values are doubling each time
4*2 = 8
8*2 = 16
16*2 = 32
The common ratio is r = 2.
<h3>Answer: Geometric</h3>=======================================================
Part B
The recursive rule here would be
The first line says that "the first term is 4"
The second line says "the nth term is found by multiplying 2 by the previous (n-1) term". In other words, double any term to get the next term.
The fourth term is 32 which doubles to 64 and that's the fifth term. So the point (5,64) is on this exponential curve.
Answer: She takes <u>64 minutes</u> to complete station 5
========================================================
Part C
We see that a = 4 is the first term and r = 2 is the common ratio.
The explicit nth term formula is a(r)^(n-1) which becomes 4(2)^(n-1)
Plugging in the value n = 8 leads to
4(2)^(n-1)
4(2)^(8-1)
4(2)^7
4(128)
512
You can use the method shown in part B to keep doubling each term until you arrive at the 8th term. This is one way to confirm the answer.
<h3>Answer: 512 minutes</h3>Answer:
Step-by-step explanation:
hi! the log properties say that when logs are multiplied as log(xy), they can be expanded and added like log(x)+log(y). when logs are divided like log(x/y), they can be expanded as log(x)-log(y). when the log has an exponent like log(x^y), the exponent can be added to the front of the log like ylog(x). we can use these properties for this problem.
ln(x^3)+ln(y^2)-ln((x+1)^4)
ln(x^3*y^2)-ln((x+1)^4)