All categories

3 years ago

Does this graph represent a function

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

7 0

Hi!

A function is when you can look at any number on the graph, and it only has one value in the line. For example, look at 2 on the y-axis. It only has one point on the line, but -2 on the y-axis has two points on the line. I hope that makes sense.

Therefore the answer is B. No, because some of the y-values are paired with 2 x-values.

Hope this helps! :)

-Peredhel

You might be interested in

How do you answer rhis

Igoryamba

You answer this problem bye cost i already got my answer though thanks for trying...

5 0

3 years ago

You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. a. Write an exponential decay mod

lorasvet [3.4K]

Answer:

a. $y=830*(0.87)^x$

b. The value of stereo system after 2 years will be $628.23.

c. After approximately 4.98 years the stereo will be worth half the original value.

Step-by-step explanation:

Let x be the number of years.

We have been given that you purchased a stereo system for $830. The value of the stereo system decreases 13% each year.

a. Since we know that an exponential function is in form: $y=a*b^x$ , where,

a = Initial value,

b = For decay b is in form (1-r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

$13\%=\frac{13}{100}=0.13$

Upon substituting our given values in exponential decay function we will get

$y=830*(1-0.13)^x$

$y=830*(0.87)^x$

Therefore, the exponential model $y=830*(0.87)^x$ represents the value of the stereo system in terms of the number of years since the purchase.

b. To find the value of stereo system after 2 years we will substitute x=2 in our model.

$y=830*(0.87)^2$

$y=830*0.7569$

$y=628.227\approx 628.23$

Therefore, the value of stereo system after 2 years will be $628.23.

c. The half of the original price will be $\frac{830}{2}=415$ .

Let us substitute y=415 in our model to find the time it will take the stereo to be worth half the original value.

$415=830*(0.87)^x$

Upon dividing both sides of our equation by 830 we will get,

$\frac{415}{830}=\frac{830*(0.87)^x}{830}$

$0.5=0.87^x$

Let us take natural log of both sides of our equation.

$ln(0.5)=ln(0.87^x)$

Using natural log property $ln(a^b)=b*ln(a)$ we will get,

$ln(0.5)=x*ln(0.87)$

$\frac{ln(0.5)}{ln(0.87)}=\frac{x*ln(0.87)}{ln(0.87)}$

$\frac{ln(0.5)}{ln(0.87)}=x$

$\frac{-0.6931471805599}{-0.139262067}=x$

$x=4.977286\approx 4.98$

Therefore, after approximately 4.98 years the stereo will be worth half the original value.

5 0

3 years ago

Hadley paddled a canoe 2/3 mile in 1/4 hour. How fast did Hadley paddle, in miles per hour?

irina [24]

Answer:

Step-by-step explanation:

Hadley paddled a canoe 2/3 mile in 1/4 hour. it will be 4 times more in an hour because 1/4*4=4/4=1. 2/3*4=8/3=2 2/3

8 0

2 years ago

the graph to the right represents mario’s mile time in minutes, y, based on the number of hours he spends training in hours , x

sveta [45]

Answer: it is 13+13=26

Step-by-step explanation:

I don’t care.

3 0

2 years ago

Write an equation of the line using function notation. Horizontal; through (0,-2)

Mnenie [13.5K]

Horizontal means the equation is y=something

(x,y)
(0,-2)
y=-2 is the equaiton
or
f(x)=-2

7 0

3 years ago