The service plans are illustrations of linear equations
It will take 125 minutes for the plans to have the same cost
<h3>How to determine the number of minutes</h3>
From the question, we have the following parameters
<u>Service plan 1</u>
- Monthly fee = $16
- Charges = $0.15 per minute
<u>Service plan 2</u>
- Monthly fee = $21
- Charges = $0.11 per minute
So, the linear equations for both plans are:
When the plans cost the same, we have:
Collect like terms
This gives
Solve for x
Hence, it will take 125 minutes for the plans to have the same cost
Read more about linear equations at:
brainly.com/question/14323743
y= 16(0.25)^x
The exponential equation represents an exponential decay because the rate of decay is 0.25 which is less than 1.
The general form equation is:
y(x)= a(1-r)^x such that r is the decay percent.
Comparing two equation we have 1-r = 0.25
==> r= 1-0.25 = 0.75 = 75%
2. y= 0.8(1.8)^x
The equation represents exponential growth because the growth factor is greater than 1.
==> 1+r = 1.8
==> r= 0.8 = 80%
Then, the growth percent is 80%
3. y= 17(1/5)^x
The equation represents exponential decay because 1/5 is less than 1.
==> 1-r = 1/5
==> r= 1- 1/5 = 4/5 = 0.8= 80%
The radius for number 2 is 9 inches the height is 20 inches. So you plug in those numbers into the equation to make: pi x 9^2 x 20 = 5089.38
The radius for number 3 is 10 inches and the height is 3 inches. So you plug in those numbers into the equation to make: pi x 10^2 x 3 = 942.48
The radius for number 4 is 5 inches and the height is 8 inches. So you plug in those numbers into the equation to make: pi x 5^2x 8 = 628.32
The radius for number 5 is 2 centimeters and the height is 5 centimeters. So you plug in those numbers into the equation to make: pi x 2^2(5) = 62.83
-2, -1, 0 , 1
-2 + -1 = -3
-3 + 0 = -3
-3 + 1 = -2
-2, -1, 0, and 1 are your answers
hope this helps
