Plotting that point puts us at a y value of -5 (the y coordinate of the point P). y=-8 is a straight horizontal line through y=-8, so the distance from -5 to -8 is 3. Remember that distance is never negative. Distance is measured using the absolute value of the numbers. So b is your choice.
Answer:
120 miles
Step-by-step explanation:
45 divided by 3 equals to 15 and 15 times 8 equals 120.
45 / 3 = 15
15 x 8 = 120
The equation for exponential decay is given as y = a(1 - r)^x.
<u>Explanation:</u>
The formula for original exponential decay is y = ab^x.
The growth rate (r) is determined as b = 1 + r.
The decay rate (r) is determined as b = 1 - r.
y = ab^x (Where b = 1 - r)
y = a(1-r)^x
a represents the initial value
r represents growth or decay rate
x represents the number of time intervals that have passed.
<em>For example</em>
The population of Home Town is 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%.
The equation for decay factor y = 35000(1 - 0.024)^x
y = 35000(0.976). (where x = 1)
Answer:
9.) 
10.) 
11.) 
minutes of calling would make the two plans equal.
12.) Company B.
Step-by-step explanation:
Let <em>t</em> equal the total cost, and <em>m,</em> minutes.
Set up your models for questions 9 & 10 like this:
<em>total cost = (cost per minute)# of minutes + monthly fee</em>
Substitute your values for #9:
Substitute your values for #10:
__
To find how many minutes of calling would result in an equal total cost, we have to set the two models we just got equal to each other.
Let's subtract 
from both sides of the equation:
Subtract 
from both sides of the equation:
Divide by the coefficient of 
, in this case: 
__
Let's substitute 
minutes into both of our original models from questions 9 & 10 to see which one the person should choose (the cheaper one).
Company A:
Multiply.
Add.
Company B:
Multiply.
Add.
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Line1: y = -x + 2
Line2: y = 2x - 1
Solution: (1,1)
