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4 years ago

5

Devon is trying to find the unit price on a 6-pack of drinks on sale for $2.99. his sister says that at that price,each drink wo

ykd cost just over $2.00 . is she correct,and how do you now? if she is not, how would devon's sister find the correct price?

1 answer:

tresset_1 [31]4 years ago

6 0

It is not true

6pack = 6 pieces ?

6 pieces for $2.00 = $12 not $2.99

Devon should divide $2.99/6 ~~ $0.49

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Answer:

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Step-by-step explanation:

<em>To begin, we know that the formula:</em>

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<u>is equivalent to a linear equation of algebraic form denoted as:</u>

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<em>as such that Eqns (1) and (2) relate as follow:</em>

$y$ ⇔ $b(a)$ : denoting our Dependent Variable, in this case <em>Max. Heart Rate in Beats Per Minute</em>

$x$ ⇔ $a$ : is our Independent Variable<em>, </em>in this case the <em>Age of the Person</em>

$m$ ⇔ $0.75$ : denoting the<em> Rate of Change of the Age.</em>

$k$ ⇔ $200$ : denoting our <em>Constant.</em>

Now in the question our value of $b(a)$ is given as 188 beats per minute, which by plugging in Eqn(1) gives:

$200-0.75a=188$

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$-0.75a=188-200$ Gather similar terms on each side

$-0.75a=-12\\$ Simplify

$a=\frac{-12}{-0.75}$ Solve for $a$

$a=16$

Which tells us that at the Age of 16, the Max. Heart Rate is 188 Beats Per Minute.

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