A line is graphed to show the relationship between the number of words typed and the time Mary spends on a typing test.

Mathematics

2 answers:

Furkat [3]3 years ago

8 0

The answer to your question is : The value of y increases by 40 for each increase of 1 by x .

Things you could of looked out for:
A. is wrong because 40 isn't plotted on the x-value
C and D are wrong because there isn't 140 plotted on either.

Hope this helps you!

Ilya [14]3 years ago

7 0

Thanks for including the graph!

Okay, so -

From examining the graph, we can see that for every minute the number of words increases by 40.

Now, since the x axis (the horizontal thingy kabob at the bottom) is time, and the y axis (the vertical thingy kabob) is the number of words - we can conclude that the answer is B!

Just remember that the value of the y axis is dependent on the value of the x axis. Also, note that x almost always represents time!

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Fantom [35]

Answer:

We have function,

$y = 3 - 6 \sin {}^{} (2x + \frac{\pi}{2} )$

Standard Form of Sinusoid is

$y = - 6 \sin(2x + \frac{\pi}{2} ) + 3$

Which corresponds to

$y = a \sin(b(x + c)) + d$

where a is the amplitude

2pi/b is the period

c is phase shift

d is vertical shift or midline.

In the equation equation, we must factor out 2 so we get

$y = - 6(2(x + \frac{\pi}{4} )) + 3$

Also remeber a and b is always positive

So now let answer the questions.

a. The period is

$\frac{2\pi}{ |b| }$

$\frac{2\pi}{ |2| } = \pi$

So the period is pi radians.

b. Amplitude is

$| - 6| = 6$

Amplitude is 6.

c. Domain of a sinusoid is all reals. Here that stays the same. Range of a sinusoid is [-a+c, a-c]. Put the least number first, and the greatest next.

So using that<em> rule, our range is [6+3, -6+3]= [9,-3] So our range</em> is [-3,9].

D. Plug in 0 for x.

$3 - 6 \sin((2(0) + \frac{\pi}{2} )$