In 1990, the population of south carolina was approximately 3,500,000. during the next ten years, the population increased by approximately 38,500 people per year. write a linear model (equation) that gives the population, p, of south carolina in terms of the year, y. let y = 0 correspond to 1990.

Step-by-step explanation:

Maybe the big numbers make it confusing, so let's look at something simpler.  If you start with 5 marbles and every day you add one marble to it how many will you have x days after startign the collection?  Well on day 0 it's 5, on day 1 it's 6, because 5+1, on day 2 it's 5+2=7, and so on.  You can write this as an equation, y = 5+x, where y is the new total and x is the number of days.  

So let's move that thinking to this problem.  1990 is day 0 and you start with 3,500,000.  Each year now instead of day you add 38,500.  So year 0 has 3,500,000.  year 1 has 3,500,000+38,500 = 3,538,500 and so on, where each year we add another 38,500.  So just like in the simpler example we can rewrite this.  y = 3,500,000 + 38,500x.  Linear means that the x is just an x instead of something like x^2, or 1/x or something else.  Just normal x.  

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

b