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

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.