1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mario62 [17]
3 years ago
13

Question 8 (1 point)

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

Answer:

P_n=10+90n

Step-by-step explanation:

So it said it was linear and gave us two points on that line: (0,10) and (5,460).

y=mx+b is slope-intercept form where b is the y-intercept or the initial amount of beetles and m is the slope (or rate of change in population to number weeks) of the line.  Our variables (x,y) are really (n,P) here.

The slope of the line can be computed using \frac{y_2-y_1}{x_2-x_1} where (x_1,y_1) \text{ and } (x_2,y_2) \text{ are points on the line }.

You can also just line up the points vertically and subtract, then put 2nd difference over first difference.

Like this:

(5  ,  460)

-(0  ,    10)

--------------

5       450

So the slope is 450/5=90.

The y-intercept is where the line crosses the y-axis.  A graph crosses the y-axis when it's x value is 0.  Luckily, they give us the y-intercept which is (0,10) so b=10.  Your problem gave us this as well and was just asking for the slope of the line.

Anyways the equation is

y=90x+10

or

y=10+90x

or since we are using P and n:

P_n=10+90n

You might be interested in
You eat five slices of bread your friend eats two slices fewer than you write an expression that describes the number of slices
lianna [129]

Answer:

No. Of slices my friend eats = No. Of slices eaten by me - No. Of slices my friend eats fewer than me

= 5 - 2

= 3

Hope this helps!

5 0
3 years ago
On a particular map, 1 inch represents an actual distance of 2.5 miles. the actual area of a lake is 12 square miles. find the a
Anton [14]
We have that
scale factor=1 in/2.5 miles
<span>the actual area of a lake is 12 square miles

</span>we know that
[area on the map]=[scale factor]²*[area actual]
[area on the map]=[1/2.5]²*[12]-----> 1.92 in²

the answer is
1.92 in²

5 0
3 years ago
Abby packs plastic cubes in a box. Each cube is 1 square centimeter.
ira [324]

Answer:

2640 cubes

Step-by-step explanation:

20 cm x 12 cm x 11 cm = 2640 cm^3

5 0
3 years ago
What is the value of the y coordinate of the solution to the system of equations
omeli [17]

The answer to this question is 1, because the to lines intersect at point (3, 1).

I hope this helped!

3 0
3 years ago
What is the slope of the line if the points are (-5,0) (5,-4)?
PtichkaEL [24]
Put your points in a graphing calculator and it will show you the answer
7 0
3 years ago
Other questions:
  • What does the ratio of the circumference to the diameter represent? Explain
    13·1 answer
  • Solve the following equation for the variable a.
    14·1 answer
  • Someone please answer this for me!!! Its 1 Answer !!!
    6·1 answer
  • Help me plz . im confused..
    12·1 answer
  • Determine which of the following sequences is arithmetic. If the sequence is arithmetic, determine the first term a, an
    6·1 answer
  • If q is directly proportional to (p-1)^2 and q=20 when p=3,find the values of p when q=80​
    15·1 answer
  • Solve for x:<br> Solve for x:
    10·2 answers
  • Hey can someone plz help me with this??? *cute eyes*
    7·1 answer
  • What is the value of x in f(x)= (x-3)(x+2)?
    12·1 answer
  • Evaluate the expression:<br> -17-14=
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!