Answer:
Growth, with a 9% increase.
Step-by-step explanation:
Exponential patterns are usually defined by some kind of <em>repeated multiplication</em>. In most exponential patterns we start with some <em>initial value</em> (let's call it a) and some <em>multiplier</em> (let's call it b), and a is multiplied by b some number x times. We capture this as a function y with the equation
There are three broad categories for this pattern:
- <em>No growth/decay </em>- The function has an initial value that never changes. In order for the initial value to stay constant, we need
, since multiplication by 1 doesn't change the number it's multiplied by. - <em>Growth</em> - The function grows at some exponential rate; for every increase in x, our initial value will be at <em>least</em> as big as it was for smaller values of x, so
in this case. (Example: A bacteria population starts at size 3 and doubles in size every hour; after x hours, there will be
bacteria) - <em>Decay - </em>The function decays or decreases at some exponential rate; for every increase in x it <em>can't be as large</em> as it was for smaller values of x, so
here. (Example: An Instagram post gets an initial wave of 100 new likes, and every hour it gets half the number of likes as the previous hour, so the number of new likes per hour is
.
In the function
,
, so we have exponential <em>growth</em>, but by what percent? Well, for every step in x, we take 1.09 (109%) of the previous value, so that's a 9% increase.
Answer:
x=16
Step-by-step explanation:
7+5=12
12 divided by 3/4 is 16
9514 1404 393
Answer:
3.16 ≈ 3.2
Step-by-step explanation:
Put the numbers in the distance formula and do the arithmetic.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((2-(-1))² +(3-2)²) = √(3² +1²) = √10
d ≈ 3.16 ≈ 3.2
The distance rounded to hundredths is 3.16. Rounded to tenths, it is 3.2.
Mode = number which appears the most
The mode for your question is 5
You do 9/10. Which here it only fits once. So this is 1 1/10. The other one fits 3 times. So its 3 1/10.
If you want the subtraction also done its 1 4/10.