The number of people enrolled in Math 101 at a certain community college is given by 200 - 5y, where y is the number of years since 2004. initial value = rate of change =

Initial value = 200

Rate of change = -5

Step-by-step explanation:

We are given the following in the question:

Let x be the number of people enrolled in Math 101 at a certain community college.

Then, we are given the equation:

where y is the number of years since 2004.

Initial value:

Initial value is the value when y = 0. It is the number of people enrolled in Math 101 at a certain community college in year 2004.

Putting  y = 0, we get,

Initial value = 200

Rate of change:

Comparing to general linear equation,

where m is the rate of change and c is the intercept.

m = -5

It tells us that with increase in 1 unit of y, x decreases by 5 units i.e. every year the number of people enrolled in Math decreases by 5.

Rate of change = -5

answer:

1. 0.04

2. 0.15

step-by-step explanation:

i just finished that assignment for properties of probability distributions.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!