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Lubov Fominskaja [6]

2 years ago

6

A grocery store sells sliced turkey. The graph shows the relationship between the weight of the sliced turkey and the total cost

of the sliced turkey. Two points, R and W, are labeled on the graph shown below.

1 answer:

Igoryamba2 years ago

8 0

Answer:

The correct option is ⇒ Point W means that that unit rate is $2.5 per pound.

Step-by-step explanation:

The question missing the graph and the options

The options for the questions are:

1) Point R means that that unit rate is $10 per pound.

2) Point R means that that unit rate is 4 pounds per dollar

3) Point W means that that unit rate is $2.5 per pound.

4) Point W means that that unit rate is 2.5 pounds per dollar.

And see the attached figure.

As shown in the figure attached

The unit rate will be the total cost per weight

By calculating the unit rate for the graph = (y2-y1)/(x2-x1)

using the given points (4,10) , (1,2.5)

the unit rate = (10-2.5)/(4-1) = 7.5/3 = 2.5

The unit rate means that it will cost $2.5 per pound and this is a gree with the point W which have the same meaning.

So, The correct answer is option 3.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

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Required

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Volume is calculated as:

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Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

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Surface Area (A) of a cylinder is calculated as thus:

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Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

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Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

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$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

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