A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rate.
from the given table
when x=0 , y=20
when x= 1 , y = 30
We use this information to find exponential growth equation
General form of exponential growth is
WE plug in the given values and find out value of a and b
when x=0 , y=20
20 = a
Now we find out b
when x= 1 , y = 30
divide both sides by 20
So exponential function becomes
Now we find the insect population at the end of week 11
We plug in 11 for x
Round the answer to nearest whole number
1730 is the insect population at the end of week 11
Answer:
18 miles
Step-by-step explanation:
we know that 1 inch = 6 miles, so we can multiply 6 by 3 to get 18 miles.
-2(1-7n)-5n=34
Multiply the bracket by -2
(-2)(1)=-2
(-2)(-7n)=14n
-2+14n-5n=34
-2+9n=34
Move -2 to the other side. Sign changes from -2 to +2.
-2+2+9n=34+2
9n=34+2
9n=36
Divide by 9 for both sides
9n/9=36/9
n=4
Answer: n=4
Answer: x= 63, y= 27
Step-by-step explanation:
x and angle measure 117 are a linear pair. They sum to 180.
117+x= 180. Subtract 117 from both sides.
x = 63
Looking at the relationship of x and y, the diagram shows that the two together equal 90 degrees. Add the two together and set equal to 90.
63+y= 90. Subtract 63 from both sides.
y = 27
Answer:
6 × 8 = 48
Step-by-step explanation:
6 sets of 8 objects, to get the answer you have to multiply
6×8 = 48
