<span>1) Number of fish in the pond: y
Number of years: x
</span>A pond had an initial population of 120 fish. Then when x=0, y=120. The graph must begin at point (x,y)=(0,120). Only the graph above at right and below at left begin in this point (0,120).
<span>The number of fish is exponentially decreasing by one-fourth each year. Then the first year the number of fish must decrease 120*(1/4)=120/4=30, and the number of fish after the first year must be:
</span>120-30=90=120(1-1/4)=120(4-1)/4=120(3/4). Then when x=1, y=90. The point is (x,y)=(1,90)
In the graph above at right when x=1, y is between 24 and 36. y=90 is not in this interval. then this graph is not the correct.
In the graph below at left when x=1, y is between 84 and 96. y=90 is in this inverval. Then this is the correct graph.
Answer: T<span>he graph of the solution set for this situation is the graph below at left.
2) The equation has the form:
y=y0(r)^x
Where y0 is the initial population and r is the rate of reduction. In this case:
y0=120 and
r=1-1/4=(4-1)/4→r=3/4
Then the equation modeled by the graph is:
y=120(3/4)^x
Answer: The equation modeled by the graph is that above at right:
y=120(3/4)^x</span>
The 1st stage: x, the 2nd stage: y.
x + y = 152
x = y + 28
y + 28 + y = 152
2 y = 152 - 28
2 y = 124
y = 124 : 2 = 62
x = 62 + 28 = 90
Answer: the first stage burns 90 seconds and the second burns 62 seconds.
Answer:
57 meters
Step-by-step explanation:
we know that
Sprint to the finish the professional cyclist travels 380 meters in 20 seconds
so
using proportion
Find out how far does the cyclist travel in 3 seconds
Let
x -----> the distance in meters
Answer: 9.9
Step-by-step explanation:
When you multiply, take away the decimal. Then, it's 33 times 3. 33 times 3 is 99, so then you put the decimal back.
Answer:
7×+14=56
= 7×=56 -14
= × = 6
Step-by-step explanation:
I hope it helps you
