Which set of ordered pairs could be generated by an exponential function?

you were 20 inches tall at birth, and 48 inches tall on your 8th birthday. Create a linear equation to represent this equation.

Marianna [84]

Answer:

Part a) $y=3.5x+20$

Part b) $90\ in$

Step-by-step explanation:

Part a) Create a linear equation to represent this situation

Let

x -----> the number of years

y ----> the height in inches

we have the points

(020) ----> at birth the height was 20 inches

(8,48) ---> 8th birthday the height was 48 inches

step 1

Find the linear equation in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

<em>Find the slope m</em>

$m=(48-20)/(8-0)\\m=3.5\ in/year$

<em>Find the value of b</em>

$b=20\ in$ ----> the point (0,20) is the y-intercept

substitute

$y=3.5x+20$

Part b) According to your equation, how tall will you be at age 20?

For x=20 years

substitute the value of x in the linear equation and solve for y

$y=3.5(20)+20$

$y=90\ in$

8 0

3 years ago

A 20-pound bag of dog food costs $16. What is the unit price per pound?

ch4aika [34]

Answer:

0.8

Step-by-step explanation:

To calculate the cost of any item per pound, divide the cost of the item by its weight in pounds: cost ÷ pounds = cost per pound.

Hope This Helped!!

6 0

3 years ago

100 points !!! will mark brainliest pls help ASAP A triangle has angles measuring 10°, 40°, and 130° with side lengths of 23 cm,

netineya [11]

Answer:

The answer is obtuse scalene!

Step-by-step explanation:

The angle measurement is over 90 which classifies as obtuse and all the side measures are different so scalene is the second classification!

I hope this helps!

p.s. have any more questions? Post the question and comment the link below!

Ciao!

♥, Sadie

5 0

3 years ago

Initially a pool contains 340 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 5.2 gall

Svetradugi [14.3K]

Answer: Amount of water that is turned in a minute is 5.2d. Given the fact that initially was 350 gallons of water everything you pour needs to be added to the initial amount. So the answer is V(x) = 350 + 5.2x

thank me plz brainliest

Step-by-step explanation:

5 0

3 years ago

The area of an equilateral triangle is given by A =3^1/2/4s^2. Find the length of the side s of an equilateral triangle with an

yan [13]

Answer:

The length of the side of an equilateral traingle $s=2\sqrt{2}$ inches

Step-by-step explanation:

Given that the area of an equilateral triangle is given by

$A=3^\frac{1}{2}s^2$

It can be written as

$a=\frac{\sqrt{3}}{4} s^2$ Square inches (1)

To find the length of the side s os an equilateral triangle

Given that area of an equilateral triangle is $12^\frac{1}{2}$ square inches

It can be written as

$A=12^\frac{1}{2}$

$A=\sqrt{12}$ square inches

It can be written as

$A=12^\frac{1}{2}$

$A=\sqrt{12}$ square inches (2)

Now comparing equations (1) and (2) we get

$\frac{\sqrt{3}}{4}s^2=\sqrt{12}$

$\frac{\sqrt{3}}{4}s^2=\sqrt{4\times 3}$

Dividing by $\frac{\sqrt{3}}{4}$ on both sides we get

$\frac{\frac{\sqrt{3}}{4}s^2}{\frac{\sqrt{3}}{4}}=\frac{2\sqrt{3}}{\frac{\sqrt{3}}{4}}$

$\frac{\sqrt{3}}{4}s^2\times\frac{4}{\sqrt{3}}=2\sqrt{3}\times\frac{4}{\sqrt{3}}$

$s^2=8$

$s=\sqrt{8}$

Therefore $s=2\sqrt{2}$ inches

Therefore the length of the side of an equilateral traingle $s=2\sqrt{2}$ inches

3 0

3 years ago