All categories

4 years ago

Does this table represent a function? Why or why not?

Mathematics

2 answers:

11111nata11111 [884]4 years ago

7 0

Answer:

Step-by-step explanation:

Each x value can have only one y value. If this is not the case it is not a function.

Can I get brainliest please

deff fn [24]4 years ago

6 0

For this case we must indicate if the given table represents a function.

By definition, a function is a relation between two sets in which each element of the first set is related to a single element of the second set.

It is observed in the table, that each value of the starting set has associated a single element in the arrival set.

Therefore, we have that it is a function because each value of "x" corresponds to a value of "y".

Answer:

Option D

You might be interested in

The Vista Marina rents boats for 25$ per hour. In addition to the rental fee, there is a 12$ charge for fuel. Is the number of h

ser-zykov [4K]

Answer:

No, the total numbers of hours you can rent the boat is not proportional to the total cost.

Step-by-step explanation:

Proportional means when two or more pairs of numbers are at a common ratio. This means when you divide the numbers that correspond to each other from each pair, the quotient is the same.

Ex: (1,2) and (4,8) are proportional.

1 corresponds with 4. 1/4 = 0.25

2 corresponds with 8. 2/8 = 0.25 Same quotients, common ratio is 0.25.

Solving the problem:

Fill in the table using random hours, then check if the pairs are proportional.

According to the problem, you pay $25/h and there is also a flat fee of $12 (money you will pay despite rental time). This means the money you pay is : ($25 X Rental Time) + $12

Choose three random numbers for "Rental Time". Use the equation for each rental time to find the "Cost ($)".

When Rental Time (h) = 1:

($25 X Rental Time) + $12

= ($25 X 1h) + $12

= $37

When Rental Time (h) = 2:

($25 X Rental Time) + $12

= ($25 X 2h) + $12

= $62

When Rental Time (h) = 3:

($25 X Rental Time) + $12

= ($25 X 3h) + $12

= $87

Fill in the table:

Rental Time (h) 1 2 3

Cost ($) 37 62 87

The pairs are (1, 37), (2, 62) and (3, 87).

Choose two and check if they are proportionate.

1 corresponds with 2. 1/2 = 0.5

37 corresponds with 62. 37/62 = 0.59677.... Different quotient. There is no common ratio.

Since there is no common ratio, the number of hours yo can rent the boat is not proportional to the total cost.

8 0

3 years ago

Find the difference. (-4y3 – y +10) – (4y3 + 3y2 – 7) [? ]y3 + [ Jyl 1+ [ ]y +[ ] Enter

Sergio039 [100]

Answer:

Step-by-step explanation:

$- 4y^{3} - 4y + 10 - 4y^{3} - 3y^{2} + 7\\- 8y^{3} + { - 3y^{2} - 4y + 17}$

8 0

3 years ago

A man starts walking north at 5 ft/s from a point P. Five minutes later a woman starts walking south at 6 ft/s from a point 500

aev [14]

Check the picture below.

the man is going North, and he has a rate of 5 f/s, she's going south, 500 miles from P, the green distance, and she's going 6 f/s.

by the time she started walking, he already had been walking for 5 minutes, or 300 seconds, since he's going 5 f/s, then he had already covered 1500 feet by then.

after that, they both walked for 15 minutes more or 900 seconds, and for her that means 5400 feet, whilst for him going slower means 4500 feet, as you see in the picture.

since he's going North and she's going South, dy/dt is the combined rates, as you see there.

now, let's use the pythagorean theorem, bearing in mind that the green 500 feet are constant all the while, that matters because the derivative of a constant is 0.

$\bf r^2=x^2+y^2\stackrel{chain~rule}{2r\cfrac{dr}{dt}}=0+\stackrel{chain~rule}{2y\cfrac{dy}{dt}}\implies \cfrac{dr}{dt}=\cfrac{2y}{2r}\cdot \cfrac{dy}{dt}
\\\\\\
\cfrac{dr}{dt}=\cfrac{y}{r}\cdot \cfrac{dy}{dt}$

so, what is "r" value 15 minutes later anyway?

$\bf r=\sqrt{(1500+4500+5400)^2+500^2}\implies r=\sqrt{11400^2+500^2}
\\\\\\
r=\sqrt{130210000}\implies r=100\sqrt{13021}$

then we just plug those folks in the derivative,

$\bf \cfrac{dr}{dt}=\cfrac{y}{r}\cdot \cfrac{dy}{dt}\qquad 
\begin{cases}
r=100\sqrt{13021}\\
\frac{dy}{dt}=11\\
y=11400
\end{cases}\implies \cfrac{dr}{dt}=\cfrac{11400}{100\sqrt{13021}}\cdot 11
\\\\\\
 \cfrac{dr}{dt}=\cfrac{114\cdot 11}{\sqrt{13021}}\implies \cfrac{dr}{dt}=\cfrac{1254}{\sqrt{13021}}\implies \cfrac{dr}{dt}\approx 10.99~\frac{f}{s}$