I NEED HELP Which table represents a function?хуA0 4142535x yXolo4B115U AUОсху26374849ху565 | 7D

Mathematics

1 answer:

pogonyaev1 year ago

3 0

A function have just one output (y) for each input (x). A value of x cannot have different corresponding values of y.

Tables B, C and D have differnet values of y (outputs) to a value of x(input), those are not functions.

Table A has one output (y) for each input (x). As you can see the output (y) can be the same for two or more inputs (x). It is a function

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If x varies directly with y and y is 10 when x is 8, what is x when y is 18?

swat32

Knowing that x varies directly with y, we know the basic skeleton of the equation is y = mx.

To find m, plug in the known coordinate (8,10), where the x-coordinate is 8 and the y-coordinate is 10.
$y=mx \\ 10=m8 \\ (10)/8=(8m)/8 \\ m= \frac{10}{8} = \frac{5}{4}$

Then, plug in m to the equation to get y = (5/4)x.

Finally, plug in the y-coordinate 18 to the equation and solve for x!
$y= \frac{5}{4}x \\ 18= \frac{5}{4}x \\ \frac{4}{5}(18)=( \frac{5}{4}x) \frac{4}{5} \\ x= \frac{4*18}{5} \\ x= \frac{72}{5}$

Your exact answer is x = 72/5. However, if your teacher prefers decimals, then x = 14.4

Hope this helps!

5 0

2 years ago

Read 2 more answers

Is (2, 1) a solution of y = 3x - 5

Aleks [24]

Yes 2,1 is a solution of this problem

8 0

2 years ago

Penny's garden has alength of 16ft. and the width is 5 ft. with a rectangular fountain in the middle that measures 5 ft by 9 ft.

lilavasa [31]

First we need the whole garden:

16 x 5 = 80