All categories

3 years ago

8. The graph is of a function in the form p(t) = a • bt. What is the function? (2 points

Mathematics

1 answer:

taurus [48]3 years ago

8 0

9514 1404 393

Answer:

8. p(t) = 5(2^t)

9. 20, 40, 80

10. doubles every year

11. multiplies by 4

12. no, it will soon exceed available habitat

Step-by-step explanation:

8. From the graph, a = p(0) = 5, and b = p(1)/p(0) = 10/5 = 2.

The function is ...

p(t) = 5(2^t)

9. You can read the values from the graph: 2 years: 20; 3 years: 40; 4 years: 80.

If you insist on evaluating the function, you have ...

p(2) = 5(2^2) = 5·4 = 20

p(3) = 5(2^3) = 5·8 = 40

p(4) = 5(2^4) = 5·16 = 80

10. The population doubles each year.

11. In 2 years, the population doubles twice, so is multiplied by 4.

12. No. Exponential functions don't last long in the real world. Eventually, required resources run out. In 15 years, there would be 163,840 snakes; in 20 years, there would be 5.2 million snakes; in 40 years, there would be 5.5 trillion snakes, about 44 snakes for every acre of land on earth (including polar areas).

You might be interested in

14a+2= What is this answer??

Bogdan [553]

16 a hope this helped

8 0

3 years ago

A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If

DIA [1.3K]

Answer:

28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

Step-by-step explanation:

Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).

To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?

Solution:

Total Strands = 80

White Strands = 35%

No. of white strands = $35\% \times 80 =\frac{35}{100} \times 80 =28$

Blue Strands = 25%

No. of blue strands = $25\% \times 80 =\frac{25}{100} \times 80 =20$

Red Strands = 40%

No. of Red strands = $40\% \times 80 =\frac{40}{100} \times 80 =32$

Hence 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

3 0

3 years ago

Read 2 more answers

Find the midpoint of the line segment JK if j (4,6) and k(0,-4)

Snowcat [4.5K]

Answer:

$(2,1)$

General Formulas and Concepts:

Order of Operations: BPEMDAS

Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define points

J (4, 6)

K (0, -4)

Step 2: Find midpoint

Substitute: $(\frac{4+0}{2},\frac{6-4}{2})$
Add/Subtract: $(\frac{4}{2},\frac{2}{2})$
Divide: $(2,1)$

4 0

3 years ago

PLEASE HELP!!!

andrew-mc [135]

Answer:

(-5.25,-3.5)

Step-by-step explanation:

Q(-3,-2)

Q'(-3*7/4.-2*7/4)

4 0

3 years ago

Look at the graph shown below:

ElenaW [278]

So.. take a peek at the picture... let's get two points from it, hmm say 0,4 notice it touches the y-axis there, and say hmmm -4, 1, almost at the bottom of the line

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 0}}\quad ,&{{ 4}})\quad 
% (c,d)
&({{ -4}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-4}{-4-0}$

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=4\\
x_1=0\\
m=\boxed{?}
\end{cases}\\
\textit{and solve for "y"}
\end{array}\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

once you get the slope and solve for "y", that'd be the equation of the line.

7 0

3 years ago