Astudy analyzed the average yearly salt intake in the united states from 2012 thru 2017. the data is summarized in the table:

year annual salt intake
(grams)
2012 3,618
2013 3,646
2014 3,680
2015 3,716
2016 3,751
2017 3,790

the study found that the data after the year 2012 can be modeled by the function f(x) = 41.8x + 3,608, 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 3,608.
the average amount of salt in grams used in 2013
the average amount of salt in grams used in 2012
an estimate of the grams of salt used in 2013
an estimate of the grams of salt used in 2012

true

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: