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Vitek1552 [10]
3 years ago
6

The Atlantic Salmon swim upstream at a steady rate of 2 miles every 3 minutes. Fill in the table to describe the relationship. R

esponse boxes
Mathematics
1 answer:
Likurg_2 [28]3 years ago
8 0

The distance traveled by the Salmon is proportional to the duration spent

swimming.

A table of the distance traveled by the Atlantic Salmon is presented as follows;

\begin{tabular}{|c|c|c}\underline{Time in minutes}&\underline{Miles Traveled  at 2/3 miles per minute } \\1&2/3  \\2&4/3\\3&2\\4&8/3\\5&10/3\\6&4\end{array}

Reasons:

The given parameter are;

The steady rate at which Atlantic Salmon swims = 2 miles in 3 minutes

Distance the Salmon swims, d ∝ Time taken, t

Therefore;

d = s·t

Where;

s = The constant of proportionality = The speed

Which gives;

\displaystyle s = \mathbf{\frac{Distance, \, d}{Time, \, t}}

The speed with which the Atlantic Salmon swims per minute is therefore;

\displaystyle The \ speed = \mathbf{\frac{2 \ miles}{3 \ minutes}} = \frac{2}{3} \ miles /minute

The distance travelled, <em>d</em>, is given as follows;

\displaystyle d = \mathbf{\frac{2}{3} \times t}

A table showing the distance travelled by the fish with time is presented as follows;

\begin{tabular}{|c|c|c|}\underline{Time, t, in minutes}&\underline{t \times d}&\underline{Miles Traveled, d,  at 2/3 miles per minute } \\1&1 \times 2/3 = 2/3&2/3  \\2&2 \times 2/3 = 4/3&4/3\\3&3 \times 2/3 = 2&2\\4&4 \times 2/3 = 8/3&8/3\\5&5 \times 2/3 = 10/3&10/3\\6&6 \times 2/3 = 4&4\end{array}

Learn more about constant of proportionality here:

brainly.com/question/11703625

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Complete Question

The complete question is shown on the first uploaded image

Answer:

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The value of  x = 61^o

Step-by-step explanation:

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4 0
3 years ago
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pantera1 [17]

Hi!

To solve this, we must make an equation in y = mx + b form, where m is the slope and b is the y-intercept.

Since we are looking at a graph with points, it saves us a TON of work, and all we have to do is simply look at the graph. We only need to find m and b, that's it!

M is the slope, and the slope can be represented by the change between points on a line, also known as <em>rise/run. </em>

If we start at point (-4, -1), and go to point (-2, 0), we can see that it goes up 1 and right 2, which would be represented as 1/2.

B is the y-intercept, and that is simply the point that is on the y-axis, which is the point (0, 1), so our number would be 1.

Therefore, plugging these numbers into the equation, our equation is y = <em>1/2</em>x + <em>1</em>

<em></em>

Hope this helps! :D

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Step-by-step explanation:

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