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LiRa [457]
3 years ago
5

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation whic

h describes the relation.​

Mathematics
1 answer:
Artemon [7]3 years ago
3 0
<h2><u>Problem Solving</u>:-</h2>

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

<h2><u>Solution</u>:-</h2>

Since the distance d varies directly as the time t, then d = kt.

Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.

\sf{\rightarrow{d =  kt}}

\sf\rightarrow{20  = 2k }

\sf\rightarrow{K= \frac{20}{2} }

\sf\rightarrow{K={\color{magenta}{10}}}

<h2><u>Answer</u>:-</h2>
  • Therefore, the constant of variation is 10.
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The difference in elevation between the bottom of the canyon and the​ bird's nest is 947 1/2 feet

<h3>What is the difference in elevation between the bottom of the canyon and the​ bird's nest?</h3>

The given parameters are:

Nest = 71 4/5 feet above the seal level

Bottom of canyon = 875 7/10 below sea level

Below sea level means negative

So, we have:

Nest = 71 4/5 feet

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The difference in elevation between the bottom of the canyon and the​ bird's nest is calculated as

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This gives

Difference = |71 4/5 - (-875 7/10)|

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Difference = |947 1/2|

Remove the absolute bracket

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1 year ago
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Find the 7th term 18,6,2…
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If we need to express it algebraically, we can write the following equation.

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Therefore, our common multiplier can be found as follows. Because this sequence is a geometric sequence.

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In geometric sequences, any term can be written in terms of the first term. Below is an example.

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Since we know the numerical values of the first term and the common factor of the series, we can easily find the seventh term.

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