Let y(t) be the percentage of the population that supports a particular government policy. The rate of change of the level of support for the policy is proportional to both the percentage of the population that agrees with the policy and the percentage that disagrees with the policy. Let the constant of proportionality for this relationship be written as k. dy/dt = ky(100-y)
Enter the differential equation that is satisfied by y.
Suppose that k is negative, people also change from agreeing to disagreeing because they have second thoughts about the policy. Suppose that this rate is proportional to the percentage of people that agree with the policy, with constant of proportionality equal to c.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9