Answer:
Step-by-step explanation:
We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is
where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)
Solving first for a:
. Sine anything in the world raised to a power of 0 is 1, we can determine that
a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:
. Since b to the first is just b:
1.5 = 3b so
b = .5
Filling in our model:
Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.
The number of messages Kaitlyn, Tony and Austin sent are 13, 18 and 72 messages respectively.
<h3>How to write and solve equation?</h3>
let
- Number of messages Kaitlyn sent = x
- Number of messages Tony sent = x + 5
- Number of messages Austin sent = 4(x + 5)
- Total messages = 103
103 = x + (x + 5) + 4(x + 5)
103 = x + x + 5 + 4x + 20
103 = 6x + 25
103 - 25 = 6x
78 = 6x
x = 78/6
x = 13
Number of messages each sent:
Number of messages Kaitlyn sent = x
= 13 messages
Number of messages Tony sent = x + 5
= 13 + 5
= 18 messages
Number of messages Austin sent = 4(x + 5)
= 4(13 + 5)
= 4(18)
= 72 messages
Learn more about equation:
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Answer:
A on edge
Step-by-step explanation:
Answer:
600
Step-by-step explanation:
Divide 8000 by 40 then multiply by 3
