There were 900 students enrolled in a high school in 2009 and 1,500 students enrolled in the same high school in 2012. The student enrollment of the high school, P, has increased at a constant rate each year, t, since 2009. A) Write the given enrollment numbers as a pair of points in the form (t, P).
B) Find the slope of the line passing through the pair of points from part A and explain the information the slope gives about the situation.
C) Write an equation that relates the high school's student enrollment, P, to the number of years since 2009, t.
D) Predict the high school's enrollment in 2017.

Answers

Answer 1
Answer:

Answer: A) (0,900)\ and\ (3,1500)

B) Slope=200, It means enrollment of 200 students increases each year.

C) P=200t+900

D) 2500 students.


Step-by-step explanation:

Given: The student enrollment of the high school, P, has increased at a constant rate each year, t, since 2009.

At 2009, t=0 and at 2012, t=3     [Since 2012-2009=3 years]

A) In points , the given enrollment numbers will be written as:-

(0,900)\ and\ (3,1500)

B) The slope of the line passing through (0,900)\ and\ (3,1500) is given by:-

m=(y_2-y_1)/(x_2-x_1)=(1500-900)/(3-0)=(600)/(3)=200

It means enrollment of 200 students increases each year.

C) The linear equation with slope= 200 and  and the initial number of students (900) is given by

P=200t+900

D) At 2017, t=8   [Since 2017-2009=8]

Then P=200(8)+900=1600+900=2500

The  high school's enrollment in 2017 = 2500 students.



Related Questions

How to make an octagon with 3 smaller shapes
kenzie bought a shirt for $18. the next day she saw the shirt was selling for 24.60. what is the percent increase
Simplify 15(5b+3) Please help me I don't understand at all
How many ant could have been in my house if i counted between 35 and 50 legs
The speed of one type of bullet is 200 meters per second. How long would it take the bullet to travel 5,000 meters?25 seconds 40 seconds 8,880 seconds 3,422.5 seconds

gloria earned $26 for babysitting 4 hours. write and solve an equation in the form of y= kx, where y refers to dollars and x refers to hours worked, to determine how much gloria would earn after babysitting 25 hours.

Answers

 26=4
26/4= 6,5$ per hour . 
y=6,5 *25
y=162,5$

Own arranges 48 beads into an array. There are 6 rows of beads. How many columns are there.

Answers

Answer:

There will be 8 columns

Step-by-step explanation:

So first you get 48 and divide it by 6 then you get 8 as your answer

In each diagram, line p is parallel to line f, and line t intersects lines p and f. Based on the diagram, what is the value of x? (Please provide explanation)

Answers

X would be 84 degrees, since its corresponding angle would be worth 84.
Hope this helped!

Final answer:

To find the value of x in the given context of parallellines intersected by a transversal, we need to consider the properties of parallel lines such as corresponding angles being equal, alternate interior angles being equal, and interior angles on the same side of the transversal being supplementary. The actual numeric value of x however cannot be determined without knowing the values of other angles in the diagram or seeing the diagram itself.

Explanation:

Based on the information provided, if line p is parallel to line f and line t intersects both, we need to consider the properties of parallel lines intersected by a transversal to find the value of x. According to this concept, corresponding angles are equal, alternate interior angles are equal, and interior angles on the same side of the transversal are supplementary (their sum is 180 degrees).

In the diagrams, if the angle's measure associated with variable 'x' is a corresponding angle or alternate interior angle with a known angle, then x is equal to that known angle. If the 'x' is related to an unknown angle which forms an interior angle on the same side of the transversal with a known angle, then x = 180 - the known angle, due to the interior angles' supplementary property on the same side of transversal.

However, without the specific diagram or the values of the other angles, it is impossible to provide a definite numeric value for x.

Learn more about Parallel Lines and Transversals here:

brainly.com/question/28983284

#SPJ12

the price of a bike after a discount was $250. If the discount was 60% how much was the original cost of the bike?​

Answers

Answer is:249.96 equally to 250

Explanation:250×100=25000

25000÷60=416.6

416.6×60=24,996

24,996×100=249.96

Final answer:

In order to calculate the original cost of a discounted item, you can adjust the discounted price by dividing it by 1 minus the discount percentage. Therefore, using this method, the original cost of a bike which cost $250 after a 60% discount was $625.

Explanation:

The given question refers to a situation where a bike has been bought for $250 after a discount of 60%. In such a scenario, we want to find out the original cost of the bike before the discount was applied.

To get the original price, we will adjust the equation for the discount, which is Original Price = Discounted Price / (1 - Discount Percentage).

Here, replacing the values / variables provided in the question into the equation, we get:
Original Price = $250 / (1 - 0.60) = $250 / 0.40 = $625.

Therefore, the original cost of the bike was $625.

Learn more about Percentage calculation here:

brainly.com/question/32197511

#SPJ2

In a 7th grade, the ratio of girls to boys is 3:5, Which of the following COULD NOT be the total number of boys and girls in the class? 24, 40, 35 or 32.

Answers

the answer is 35 because that's not a multiple of 8

Four times a number increased by 3 is the same as twice the number increased by 9? I'm horrible at these

Answers

The question says:
4(x) +3 = 2(x) + 9 
so now you need to find x
first you should add -2(x) on both sides of the equation and then add -3 on both sides:
4(x) - 2(x) = 9 - 3 
2(x) = 6
now you can divide both sides by 2:
x = 6/2 
x = 3 :)))
I hope this is helpful
have a nice day
Four times a number (we are gonna make that be "x") increased by 3 would be 4x+3 it says it is the same as (means it is equal to) twice the number (2x) increased by 9 (+9) so the full equation would be 4x+3=2x+9
You have to solve for the number (x).
4x+3=2x+9
-2x -2x (Have to get the x's to one side)
2x+3=9
-3 -3 (you have to get the numbers on one side too)
2x=6
/2 /2 (to get x alone)
X=3 (the number is 3)