Part B) Which of the following functions most appropriately models the data, where x represents the number of millions of dollars of revenue from Tallahassee theaters?

f(x) = -0.805x + 38.967
f(x) = 0.805x + 38.967
f(x) = -0.001x2 - 0.543x + 37.389
f(x) = 0.001x2 - 0.543x + 37.389

Answers

Answer 1

Answer:

The correct answer for the data is (d) f(x) = 0.001x² - 0.543x + 37.389.

What is an expression?

To determine which function most appropriately models the data, we need to examine the characteristics of the data and compare them with the characteristics of the functions.

The data represents the revenue from Tallahassee theaters, which means that the revenue is likely to increase as the number of theaters and the number of people attending the theaters increases. Therefore, we can eliminate options (a) and (b) because they have negative coefficients on x, which would indicate a decreasing revenue as x increases.

Option (c) is a quadraticfunction, which allows for a more complex relationship between the revenueand the number of theaters. However, the coefficient on the x² term is very small (0.001), which suggests that the quadratic term has little effect on the revenue compared to the linear term. In addition, the constant term (37.389) is relatively low, which would imply a low revenue even when the number of theaters is zero.

Option (d) is also a quadratic function, but it has a larger coefficient on the x² term (0.001) and a higher constant term (37.389), which would result in a higher revenue even when the number of theaters is zero. Therefore, option (d) is the most appropriate function to model the data.

So, the correct answer is (d) f(x) = 0.001x² - 0.543x + 37.389.

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Answer 2

Answer:

Answer:

its c

Step-by-step explanation:

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Why will the percent of change always be represented by a positive numberplease make a simple answer Thankyou

Answers

Answer:

Percent of change ill always be in positive number . As when we take a reference point , all the measurements becoke positive.

It will always be positive because distance can never be negative. No matter how far "backwards" you travel from a point, you are still traveling the same distance from that point, regardless of which direction you are traveling in.

mary has 39 square feet of patio bricks. each square brick has sides 1 foot long. what is the greatest perimeter of a rectangle that she can make with bricks

Answers

-- The smallest perimeter you can make with a certain area
is a circle.

-- The NEXT smallest perimeter with the same area is a square.

   With 1-ft by 1-ft square bricks, the shortest perimeter she could
make would be by using her bricks to make it as square as possible.
Without cutting bricks into pieces, the best she could do would be

       (13 bricks) x (3 bricks) .

= (13-ft) x (3-ft)

   Perimeter = (2 x length) + (2 x width)

   = (2 x 13-ft) + (2 x 3-ft)

   =      (26-ft) + (6-ft) = 32 feet <== shortest perimeter.

-- Then, the more UNSQUARE you make it, the more perimeter
it takes to enclose the same area. That means Mary has to make
a rectangle as long and skinny as she can.

The longest perimeter she can make (without cutting bricks into
pieces) is (39 bricks) x (1 brick) .

      = (39-ft) x (1-ft) .

Perimeter = (2 x length) + (2 x width)

   = (2 x 39-ft) + (2 x 1-ft)

   =    (78-ft) + (2-ft) = 80 feet .

What she'll have then is a brick path, 39 feet long and 1 foot wide,
and when you walk on it, you'll need to try hard to avoid falling off
because it's only 1 foot wide.

The largest perimeter possible is 80ft.

What is the greatest perimeter that can be made?

The greatest perimeter is obtained when we put all the bricks on a single line. That is because in this case, we do not have internal bricks that do not apport to the perimeter.

In that case, we would get a rectangle that measures 39 ft by 1ft, then the perimeter is:

P = 2*(1ft + 39ft) = 80ft

The largest perimeter possible is 80ft.

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A metal recycling center pays $41.25 for 75 pounds ofaluminum. Which of the following is another possible amount
the metal recycling center would pay for aluminum?
A. $19.25 for 35 pounds
B. $24.00 for 40 pounds
C. $5.35 for 0.25 pounds
D. $45.45 for 25 pounds

Answers

Answer:

Step-by-step explanation:

$41.45 / 75 = .55

A= $19.25/ 35 = .55

a train is traveling from new orleans to memphis at a constant speed of 79 mph. New Orleans and Tennessee are 395.1 miles apart. How long will the train take to reach Tennessee?