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bogdanovich [222]
3 years ago
8

A study analyzed the average yearly salt intake in the United States from 2012 thru 2017. The data is summarized in the table: Y

ear Annual Salt Intake (grams) 2012 3,554 2013 3,598 2014 3,603 2015 3,655 2016 3,718 2017 3,794 The study found that the data after the year 2012 can be modeled by the function f(x) = 52.3x + 3,548, where x is the number of years since 2012 and f(x) is the total amount of salt ingested in grams. Describe the significance of 3,548. An estimate of the average grams of salt used in 2012 An estimate of the average grams of salt used in 2013 The average amount of salt in grams used in 2012 The average amount of salt in grams used in 2013
Mathematics
1 answer:
Nuetrik [128]3 years ago
7 0

Answer:

Is an estimate of the average grams of salt used in 2012

Step-by-step explanation:

Let

x ---> the number of years since 2012

f(x) ---> is the total amount of salt ingested in grams

we have

f(x)=52.3x+3.548

This is a linear equation in slope intercept form

where

The slope is equal to

m=52.3\ grams/ year

The y-intercept or initial value is equal to

b=3,548\ grams

The y-intercept is the value of the function f(x) when the value of x is equal to zero

In this context, the y-intercept is the average amount of grams of salt ingested  in the year 2012

The exact value of the average amount of grams of salt ingested  in the year 2012 is 3,554 grams (see the data in the table)

Compare the exact value with the y-intercept

3,554\ g\neq 3,548\ g

therefore

3,548 grams Is an estimate of the average grams of salt used in 2012

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f(x) = -8\cdot 4^x


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In fact, if you consider the two alternatives


x \mapsto f(x) and x \mapsto -f(x)


you can see that you're choosing opposite outputs for the same inputs.


In other words, one graph will be made of points like (x,f(x)), the other of points like (x,-f(x))


And the transformation


(x,y) \to (x,-y)


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6 0
3 years ago
A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The height is 4 feet. How
goldenfox [79]
6 * 2.5 = 15 That’s the area of the base

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Then you add all the dimensions together.

15+20+48 = 83.

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3 years ago
Ter 1: Solving Simple Equation Solve x +5 = 8.​
Andru [333]

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Hope This Helps :)

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HELP URGENT. The following sphere has a diameter of 18 cm. What is the volume of the sphere? Use 3.14 for and round your answer
Trava [24]

The volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.

Option C is the correct answer.

<h3>What is the volume of the sphere?</h3>

The volume of  the sphere is the amount of space occupied within the sphere.

Volume of sphere is expressed as;

V = (4/3)πr³

Where r is the radius and π is pi ( π = 3.14 )

Given that;

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V = (4/3)πr³

V = (4/3) × 3.14 × 9cm)³

V = (4/3) × 3.14 × 729cm³

V = 3052.1cm³

Therefore, the volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.

Option C is the correct answer.

Learn more about volume of hemisphere here: brainly.com/question/3362286

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Answer:

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